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Contents of Database of Finite Perfect Groups

Contents of Database of Finite Perfect Groups

CLASS A5#2 (Complete up to order 50000)
A5 A5_2_66 A5_2_94 A5_2_921 A5C2 A5_2_67 A5_2_95 A5_2_922 A5_2_41 A5_2_71 A5_2_96 A5_2_923 A5_2_42 A5_2_72 A5_2_97 A5_2_924 A5_2_51 A5_2_73 A5_2_98 A5_2_925 A5_2_51b A5_2_74 A5_2_99 A5_2_926 A5_2_52 A5_2_75 A5_2_910 A5_2_927 A5_2_53 A5_2_81 A5_2_911 A5_2_928 A5_2_54 A5_2_82 A5_2_912 A5_2_929 A5_2_55 A5_2_83 A5_2_913 A5_2_930 A5_2_56 A5_2_84 A5_2_914 A5_2_931 A5_2_57 A5_2_85 A5_2_915 A5_2_932 A5_2_61 A5_2_86 A5_2_916 A5_2_933 A5_2_62 A5_2_87 A5_2_917 A5_2_934 A5_2_63 A5_2_91 A5_2_918 A5_2_935 A5_2_64 A5_2_92 A5_2_919 A5_2_936 A5_2_65 A5_2_93 A5_2_920 A5_2_937
CLASSES A5#3 AND A5C2#3 (Complete up to order 1000000).
A5 A5C2_3_52 A5_3_82 A5C2_3_88 A5C2 A5C2_3_53 A5C2_3_82 A5C2_3_89 A5_3_41 A5_3_61 A5_3_83 A5C2_3_810 A5C2_3_41 A5C2_3_61 A5C2_3_83 A5C2_3_811 A5_3_42 A5C2_3_62 A5_3_84 A5C2_3_812 A5C2_3_42 A5C2_3_63 A5C2_3_84 A5C2_3_813 A5C2_3_43 A5C2_3_71 A5C2_3_85 A5_3_51 A5_3_81 A5C2_3_86 A5C2_3_51 A5C2_3_81 A5C2_3_87
CLASSES A5#5 AND A5C2#5 (Complete up to order 1000000).
A5 A5C2_5_41 A5C2_5_55 A5_5_63 A5C2 A5C2_5_42 A5C2_5_56 A5_5_64 A5C2_5_21 A5C2_5_43 A5C2_5_57 A5_5_65 A5_5_31 A5C2_5_44 A5C2_5_58 A5_5_66 A5C2_5_31 A5_5_51 A5C2_5_59 A5_5_67 A5_5_32 A5C2_5_51 A5C2_5_510 A5_5_68 A5C2_5_32 A5C2_5_52 A5C2_5_511 A5C2_5_33 A5C2_5_53 A5_5_61 A5_5_41 A5C2_5_54 A5_5_62
CLASSES A5#7 AND A5C2#7 (Complete up to order 1000000).
A5 A5_7_41 A5C2_7_42 A5C2 A5C2_7_41 A5C2_7_43
CLASSES A5#p AND A5C2#p FOR p > 11 (Complete up to order 1000000).
A5 A5C2_11_32 A5C2_29_21 A5C2_71_21 A5C2 A5C2_19_21 A5C2_31_21 A5C2_79_21 A5C2_11_21 A5_19_31 A5C2_41_21 A5C2_89_21 A5_11_31 A5C2_19_31 A5C2_59_21 A5C2_11_31 A5C2_19_32 A5C2_61_21
CLASSES A5 2^4" # 3 etc. (Complete up to order 1000000).
A5_2_42 A5_2_67 A5_2_67_3_51 A5_2_57_3_52 A5_2_55 A5_2_56_3_41 A5_2_42_3_52 A5_2_67_3_52 A5_2_56 A5_2_67_3_41 A5_2_55_3_52 A5_2_57 A5_2_56_3_51 A5_2_56_3_52
CLASS L32#2 (Complete up to order 50000)
L32 L32_2_68 L32_2_716 L32_2_811 L32C2 L32_2_69 L32_2_717 L32_2_812 L32_2_31 L32_2_71 L32_2_718 L32_2_813 L32_2_31b L32_2_72 L32_2_719 L32_2_814 L32_2_32 L32_2_73 L32_2_720 L32_2_815 L32_2_32b L32_2_74 L32_2_721 L32_2_816 L32_2_41 L32_2_75 L32_2_722 L32_2_817 L32_2_42 L32_2_76 L32_2_81 L32_2_818 L32_2_43 L32_2_77 L32_2_82 L32_2_819 L32_2_51 L32_2_78 L32_2_83 L32_2_820 L32_2_61 L32_2_79 L32_2_84 L32_2_821 L32_2_62 L32_2_710 L32_2_85 L32_2_822 L32_2_63 L32_2_711 L32_2_86 L32_2_823 L32_2_64 L32_2_712 L32_2_87 L32_2_824 L32_2_65 L32_2_713 L32_2_88 L32_2_825 L32_2_66 L32_2_714 L32_2_89 L32_2_67 L32_2_715 L32_2_810
CLASSES L32#3 AND L32C2#3 (Complete up to order 1000000).
L32 L32C2_3_61 L32_3_71 L32C2_3_72 L32C2 L32_3_62 L32C2_3_71 L32_3_73 L32_3_61 L32C2_3_62 L32_3_72 L32C2_3_73
CLASSES L32#7 AND L32C2#7 (Complete up to order 1000000).
L32 L32_7_31 L32C2_7_32 L32C2_7_42 L32C2 L32C2_7_31 L32C2_7_33 L32C2_7_21 L32_7_32 L32C2_7_41
CLASSES L32#11 AND L32C2#11 (Complete up to order 1000000).
L32_11_31 L32C2_11_31
CLASSES A6#2 AND A6C3#2 (Complete up to order 200000, 50000, resp.).
A6 A6_2_53 A6_2_91 A6_2_912 A6C2 A6C3_2_53 A6_2_92 A6_2_913 A6C3 A6_2_54 A6_2_93 A6_2_914 A6C6 A6C3_2_54 A6_2_94 A6_2_915 A6_2_41 A6_2_61 A6_2_95 A6_2_916 A6C3_2_41 A6_2_62 A6_2_96 A6_2_917 A6C3_2_72 A6_2_63 A6_2_97 A6_2_918 A6_2_51 A6C3_2_64 A6_2_98 A6_2_919 A6C3_2_51 A6_2_71 A6_2_99 A6_2_52 A6_2_81 A6_2_910 A6C3_2_52 A6_2_82 A6_2_911
CLASSES A6#3 AND A6C2#3 (Complete up to order 1000000).
A6 A6C2_3_52 A6_3_61 A6_3_66 A6C2 A6_3_53 A6C2_3_61 A6C2_3_66 A6C3 A6C2_3_53 A6_3_62 A6C2_3_67 A6C6 A6_3_54 A6C2_3_62 A6C2_3_68 A6_3_41 A6C2_3_54 A6_3_63 A6C2_3_69 A6C2_3_41 A6_3_55 A6C2_3_63 A6_3_71 A6C2_3_42 A6C2_3_55 A6_3_64 A6_3_72 A6_3_51 A6C2_3_56 A6C2_3_64 A6_3_73 A6C2_3_51 A6C2_3_57 A6_3_65 A6_3_52 A6C2_3_58 A6C2_3_65
CLASS L28#2 (Complete up to order 1000000).
L28 L28_2_73 L28_2_84 L28_2_93 L28_2_61 L28_2_74 L28_2_85 L28_2_94 L28_2_62 L28_2_81 L28_2_86 L28_2_101 L28_2_71 L28_2_82 L28_2_91 L28_2_72 L28_2_83 L28_2_92
CLASS L211#2 (Complete up to order 1000000).
L211 L211_2_101 L211_2_103 L211C2 L211_2_102
CLASSES L211#3 AND L211C2#3 (Complete up to order 1000000).
L211 L211C2 L211_3_51 L211C2_3_51
CLASSES L211#11 AND L211C2#11 (Complete up to order 1000000).
L211 L211C2_11_21 L211_11_32 L211C2 L211_11_31
CLASSES L213#13 AND L213C2#13 (Complete up to order 1000000).
L213 L213C2 L213C2_13_21
CLASS L217#2 (Complete up to order 1000000).
L217 L217C2 L217_2_81
OTHER GROUPS L2q AND L2qC2 (Complete up to order 1000000).
L216 L237 L261 L283C2 L219 L237C2 L261C2 L289 L219C2 L241 L264 L289C2 L223 L241C2 L267 L297 L223C2 L243 L267C2 L297C2 L225 L243C2 L271 L2101 L225C2 L247 L271C2 L2103 L227 L247C2 L273 L2107 L227C2 L249 L273C2 L2109 L229 L249C2 L279 L2113 L229C2 L253 L279C2 L2121 L231 L253C2 L281 L2125 L231C2 L259 L281C2 L232 L259C2 L283
CLASSES A7#2 AND A7C3#2 (Complete up to order 1000000).
A7 A7C3_2_41 A7_2_71 A7C3_2_73 A7C2 A7_2_51 A7C3_2_71 A7_2_81 A7C3 A7C3_2_51 A7_2_72 A7_2_82 A7C6 A7_2_61 A7C3_2_72 A7_2_83 A7_2_41 A7C3_2_61 A7_2_73
CLASS L33#3 (Complete up to order 1000000).
L33 L33_3_31
CLASS U33#2 (Complete up to order 1000000).
U33 U33_2_62 U33_2_72 U33_2_61 U33_2_71
CLASS A8#2 (Complete up to order 1000000).
A8 A8_2_41 A8_2_51 A8C2 A8_2_42 A8_2_52
CLASSES L34#2 AND L34C3#2 (Complete up to order 1000000).
L34 L34_2_21 L34_2_23 L34_2_41 L34C3 L34C3_2_21 L34C3_2_23 L34C3_2_41 L34_2_11 L34_2_22 L34_2_31 L34C3_2_11 L34C3_2_22 L34C3_2_31
OTHER SIMPLE AND QUASISIMPLE GROUPS (Complete up to order 1000000).
M11 Sz8C4 U35C3 M22 U42 U34 J1 M22C2 U42C2 M12 A9 J2 Sz8 M12C2 A9C2 J2C2 Sz8C2 U35 L35 Sp44
CLASS A5xA5#2 (Complete up to order 50000, but includes two larger groups).
A5xA5 A5xA5q2 A5xA5_2_81 A5xA5C2 A5C2xA5C2 A5xA5_2_82
DIRECT PRODUCTS OF SIMPLE GROUPS AND THEIR COVERS (Complete up to order 50000).
A5xL32 A5xL32q2 A5xA6C2 A5xL28 A5xL32C2 A5C2xL32C2 A5C2xA6 A5xL211 A5C2xL32 A5xA6 A5xA6q2 L32xL32

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