extension | φ:Q→Aut N | d | ρ | Label | ID |
C22.1(C22×F5) = C2×D4.F5 | φ: C22×F5/C2×F5 → C2 ⊆ Aut C22 | 160 | | C2^2.1(C2^2xF5) | 320,1593 |
C22.2(C22×F5) = D10.C24 | φ: C22×F5/C2×F5 → C2 ⊆ Aut C22 | 40 | 8+ | C2^2.2(C2^2xF5) | 320,1596 |
C22.3(C22×F5) = Dic5.21C24 | φ: C22×F5/C2×F5 → C2 ⊆ Aut C22 | 80 | 8 | C2^2.3(C2^2xF5) | 320,1601 |
C22.4(C22×F5) = Dic5.22C24 | φ: C22×F5/C2×F5 → C2 ⊆ Aut C22 | 80 | 8 | C2^2.4(C2^2xF5) | 320,1602 |
C22.5(C22×F5) = C4○D4×F5 | φ: C22×F5/C2×F5 → C2 ⊆ Aut C22 | 40 | 8 | C2^2.5(C2^2xF5) | 320,1603 |
C22.6(C22×F5) = D5.2+ 1+4 | φ: C22×F5/C2×F5 → C2 ⊆ Aut C22 | 40 | 8 | C2^2.6(C2^2xF5) | 320,1604 |
C22.7(C22×F5) = C2×D10.D4 | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 80 | | C2^2.7(C2^2xF5) | 320,1082 |
C22.8(C22×F5) = C23⋊F5⋊5C2 | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 80 | 4 | C2^2.8(C2^2xF5) | 320,1083 |
C22.9(C22×F5) = C2×Dic5.D4 | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 160 | | C2^2.9(C2^2xF5) | 320,1098 |
C22.10(C22×F5) = (C4×D5).D4 | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 80 | 4 | C2^2.10(C2^2xF5) | 320,1099 |
C22.11(C22×F5) = (C2×D4)⋊7F5 | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 40 | 8+ | C2^2.11(C2^2xF5) | 320,1108 |
C22.12(C22×F5) = (C2×D4)⋊8F5 | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 80 | 8- | C2^2.12(C2^2xF5) | 320,1109 |
C22.13(C22×F5) = (C2×D4).9F5 | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 80 | 8- | C2^2.13(C2^2xF5) | 320,1115 |
C22.14(C22×F5) = D5⋊(C4.D4) | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 40 | 8+ | C2^2.14(C2^2xF5) | 320,1116 |
C22.15(C22×F5) = (C2×Q8)⋊7F5 | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 80 | 8+ | C2^2.15(C2^2xF5) | 320,1123 |
C22.16(C22×F5) = (C2×Q8).7F5 | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 80 | 8- | C2^2.16(C2^2xF5) | 320,1127 |
C22.17(C22×F5) = C2×C23⋊F5 | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 80 | | C2^2.17(C2^2xF5) | 320,1134 |
C22.18(C22×F5) = C2×C23.F5 | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 80 | | C2^2.18(C2^2xF5) | 320,1137 |
C22.19(C22×F5) = C2×D5⋊M4(2) | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 80 | | C2^2.19(C2^2xF5) | 320,1589 |
C22.20(C22×F5) = C2×D10.C23 | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 80 | | C2^2.20(C2^2xF5) | 320,1592 |
C22.21(C22×F5) = Dic5.C24 | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 80 | 8- | C2^2.21(C2^2xF5) | 320,1594 |
C22.22(C22×F5) = Dic5.20C24 | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 80 | 8+ | C2^2.22(C2^2xF5) | 320,1598 |
C22.23(C22×F5) = D5.2- 1+4 | φ: C22×F5/C22×D5 → C2 ⊆ Aut C22 | 80 | 8- | C2^2.23(C2^2xF5) | 320,1600 |
C22.24(C22×F5) = C4×D5⋊C8 | central extension (φ=1) | 160 | | C2^2.24(C2^2xF5) | 320,1013 |
C22.25(C22×F5) = C42.5F5 | central extension (φ=1) | 160 | | C2^2.25(C2^2xF5) | 320,1014 |
C22.26(C22×F5) = C4×C4.F5 | central extension (φ=1) | 160 | | C2^2.26(C2^2xF5) | 320,1015 |
C22.27(C22×F5) = C42.6F5 | central extension (φ=1) | 160 | | C2^2.27(C2^2xF5) | 320,1016 |
C22.28(C22×F5) = C42.11F5 | central extension (φ=1) | 160 | | C2^2.28(C2^2xF5) | 320,1017 |
C22.29(C22×F5) = C42.12F5 | central extension (φ=1) | 160 | | C2^2.29(C2^2xF5) | 320,1018 |
C22.30(C22×F5) = C42×F5 | central extension (φ=1) | 80 | | C2^2.30(C2^2xF5) | 320,1023 |
C22.31(C22×F5) = C42⋊4F5 | central extension (φ=1) | 80 | | C2^2.31(C2^2xF5) | 320,1024 |
C22.32(C22×F5) = C4×C4⋊F5 | central extension (φ=1) | 80 | | C2^2.32(C2^2xF5) | 320,1025 |
C22.33(C22×F5) = Dic5.C42 | central extension (φ=1) | 160 | | C2^2.33(C2^2xF5) | 320,1029 |
C22.34(C22×F5) = C5⋊C8⋊8D4 | central extension (φ=1) | 160 | | C2^2.34(C2^2xF5) | 320,1030 |
C22.35(C22×F5) = C22⋊C4×F5 | central extension (φ=1) | 40 | | C2^2.35(C2^2xF5) | 320,1036 |
C22.36(C22×F5) = D10.C42 | central extension (φ=1) | 160 | | C2^2.36(C2^2xF5) | 320,1039 |
C22.37(C22×F5) = D20⋊2C8 | central extension (φ=1) | 160 | | C2^2.37(C2^2xF5) | 320,1040 |
C22.38(C22×F5) = Dic10⋊C8 | central extension (φ=1) | 320 | | C2^2.38(C2^2xF5) | 320,1041 |
C22.39(C22×F5) = C4⋊C4×F5 | central extension (φ=1) | 80 | | C2^2.39(C2^2xF5) | 320,1048 |
C22.40(C22×F5) = C2×C4×C5⋊C8 | central extension (φ=1) | 320 | | C2^2.40(C2^2xF5) | 320,1084 |
C22.41(C22×F5) = C2×C20⋊C8 | central extension (φ=1) | 320 | | C2^2.41(C2^2xF5) | 320,1085 |
C22.42(C22×F5) = Dic5.12M4(2) | central extension (φ=1) | 160 | | C2^2.42(C2^2xF5) | 320,1086 |
C22.43(C22×F5) = C2×C10.C42 | central extension (φ=1) | 320 | | C2^2.43(C2^2xF5) | 320,1087 |
C22.44(C22×F5) = C4×C22.F5 | central extension (φ=1) | 160 | | C2^2.44(C2^2xF5) | 320,1088 |
C22.45(C22×F5) = C2×D10⋊C8 | central extension (φ=1) | 160 | | C2^2.45(C2^2xF5) | 320,1089 |
C22.46(C22×F5) = C2×Dic5⋊C8 | central extension (φ=1) | 320 | | C2^2.46(C2^2xF5) | 320,1090 |
C22.47(C22×F5) = D10.11M4(2) | central extension (φ=1) | 80 | | C2^2.47(C2^2xF5) | 320,1091 |
C22.48(C22×F5) = C20.34M4(2) | central extension (φ=1) | 160 | | C2^2.48(C2^2xF5) | 320,1092 |
C22.49(C22×F5) = C2×D10.3Q8 | central extension (φ=1) | 80 | | C2^2.49(C2^2xF5) | 320,1100 |
C22.50(C22×F5) = C4×C22⋊F5 | central extension (φ=1) | 80 | | C2^2.50(C2^2xF5) | 320,1101 |
C22.51(C22×F5) = D4×C5⋊C8 | central extension (φ=1) | 160 | | C2^2.51(C2^2xF5) | 320,1110 |
C22.52(C22×F5) = Q8×C5⋊C8 | central extension (φ=1) | 320 | | C2^2.52(C2^2xF5) | 320,1124 |
C22.53(C22×F5) = C2×C23.2F5 | central extension (φ=1) | 160 | | C2^2.53(C2^2xF5) | 320,1135 |
C22.54(C22×F5) = C22×D5⋊C8 | central extension (φ=1) | 160 | | C2^2.54(C2^2xF5) | 320,1587 |
C22.55(C22×F5) = C22×C4.F5 | central extension (φ=1) | 160 | | C2^2.55(C2^2xF5) | 320,1588 |
C22.56(C22×F5) = C22×C4×F5 | central extension (φ=1) | 80 | | C2^2.56(C2^2xF5) | 320,1590 |
C22.57(C22×F5) = C22×C4⋊F5 | central extension (φ=1) | 80 | | C2^2.57(C2^2xF5) | 320,1591 |
C22.58(C22×F5) = C2×Q8.F5 | central extension (φ=1) | 160 | | C2^2.58(C2^2xF5) | 320,1597 |
C22.59(C22×F5) = C2×Q8×F5 | central extension (φ=1) | 80 | | C2^2.59(C2^2xF5) | 320,1599 |
C22.60(C22×F5) = C23×C5⋊C8 | central extension (φ=1) | 320 | | C2^2.60(C2^2xF5) | 320,1605 |
C22.61(C22×F5) = C22×C22.F5 | central extension (φ=1) | 160 | | C2^2.61(C2^2xF5) | 320,1606 |
C22.62(C22×F5) = C20⋊3M4(2) | central stem extension (φ=1) | 160 | | C2^2.62(C2^2xF5) | 320,1019 |
C22.63(C22×F5) = C42.14F5 | central stem extension (φ=1) | 160 | | C2^2.63(C2^2xF5) | 320,1020 |
C22.64(C22×F5) = C42.15F5 | central stem extension (φ=1) | 160 | | C2^2.64(C2^2xF5) | 320,1021 |
C22.65(C22×F5) = C42.7F5 | central stem extension (φ=1) | 160 | | C2^2.65(C2^2xF5) | 320,1022 |
C22.66(C22×F5) = C42⋊8F5 | central stem extension (φ=1) | 80 | | C2^2.66(C2^2xF5) | 320,1026 |
C22.67(C22×F5) = C42⋊9F5 | central stem extension (φ=1) | 80 | | C2^2.67(C2^2xF5) | 320,1027 |
C22.68(C22×F5) = C42⋊5F5 | central stem extension (φ=1) | 80 | | C2^2.68(C2^2xF5) | 320,1028 |
C22.69(C22×F5) = C5⋊C8⋊D4 | central stem extension (φ=1) | 160 | | C2^2.69(C2^2xF5) | 320,1031 |
C22.70(C22×F5) = D10⋊M4(2) | central stem extension (φ=1) | 160 | | C2^2.70(C2^2xF5) | 320,1032 |
C22.71(C22×F5) = Dic5⋊M4(2) | central stem extension (φ=1) | 160 | | C2^2.71(C2^2xF5) | 320,1033 |
C22.72(C22×F5) = C20⋊C8⋊C2 | central stem extension (φ=1) | 160 | | C2^2.72(C2^2xF5) | 320,1034 |
C22.73(C22×F5) = C23.(C2×F5) | central stem extension (φ=1) | 160 | | C2^2.73(C2^2xF5) | 320,1035 |
C22.74(C22×F5) = D10⋊(C4⋊C4) | central stem extension (φ=1) | 40 | | C2^2.74(C2^2xF5) | 320,1037 |
C22.75(C22×F5) = C10.(C4×D4) | central stem extension (φ=1) | 80 | | C2^2.75(C2^2xF5) | 320,1038 |
C22.76(C22×F5) = D10⋊2M4(2) | central stem extension (φ=1) | 160 | | C2^2.76(C2^2xF5) | 320,1042 |
C22.77(C22×F5) = C20⋊M4(2) | central stem extension (φ=1) | 160 | | C2^2.77(C2^2xF5) | 320,1043 |
C22.78(C22×F5) = C4⋊C4.7F5 | central stem extension (φ=1) | 160 | | C2^2.78(C2^2xF5) | 320,1044 |
C22.79(C22×F5) = Dic5.M4(2) | central stem extension (φ=1) | 320 | | C2^2.79(C2^2xF5) | 320,1045 |
C22.80(C22×F5) = C4⋊C4.9F5 | central stem extension (φ=1) | 160 | | C2^2.80(C2^2xF5) | 320,1046 |
C22.81(C22×F5) = C20.M4(2) | central stem extension (φ=1) | 320 | | C2^2.81(C2^2xF5) | 320,1047 |
C22.82(C22×F5) = C4⋊C4⋊5F5 | central stem extension (φ=1) | 80 | | C2^2.82(C2^2xF5) | 320,1049 |
C22.83(C22×F5) = C20⋊(C4⋊C4) | central stem extension (φ=1) | 80 | | C2^2.83(C2^2xF5) | 320,1050 |
C22.84(C22×F5) = D10⋊9M4(2) | central stem extension (φ=1) | 80 | | C2^2.84(C2^2xF5) | 320,1093 |
C22.85(C22×F5) = D10⋊10M4(2) | central stem extension (φ=1) | 80 | | C2^2.85(C2^2xF5) | 320,1094 |
C22.86(C22×F5) = Dic5.13M4(2) | central stem extension (φ=1) | 160 | | C2^2.86(C2^2xF5) | 320,1095 |
C22.87(C22×F5) = C20⋊8M4(2) | central stem extension (φ=1) | 160 | | C2^2.87(C2^2xF5) | 320,1096 |
C22.88(C22×F5) = C20.30M4(2) | central stem extension (φ=1) | 160 | | C2^2.88(C2^2xF5) | 320,1097 |
C22.89(C22×F5) = (C22×C4)⋊7F5 | central stem extension (φ=1) | 80 | | C2^2.89(C2^2xF5) | 320,1102 |
C22.90(C22×F5) = D10⋊6(C4⋊C4) | central stem extension (φ=1) | 80 | | C2^2.90(C2^2xF5) | 320,1103 |
C22.91(C22×F5) = C5⋊C8⋊7D4 | central stem extension (φ=1) | 160 | | C2^2.91(C2^2xF5) | 320,1111 |
C22.92(C22×F5) = C20⋊2M4(2) | central stem extension (φ=1) | 160 | | C2^2.92(C2^2xF5) | 320,1112 |
C22.93(C22×F5) = (C2×D4).7F5 | central stem extension (φ=1) | 160 | | C2^2.93(C2^2xF5) | 320,1113 |
C22.94(C22×F5) = (C2×D4).8F5 | central stem extension (φ=1) | 160 | | C2^2.94(C2^2xF5) | 320,1114 |
C22.95(C22×F5) = (C2×F5)⋊D4 | central stem extension (φ=1) | 40 | | C2^2.95(C2^2xF5) | 320,1117 |
C22.96(C22×F5) = C2.(D4×F5) | central stem extension (φ=1) | 80 | | C2^2.96(C2^2xF5) | 320,1118 |
C22.97(C22×F5) = (C2×Q8).5F5 | central stem extension (φ=1) | 160 | | C2^2.97(C2^2xF5) | 320,1125 |
C22.98(C22×F5) = C20.6M4(2) | central stem extension (φ=1) | 320 | | C2^2.98(C2^2xF5) | 320,1126 |
C22.99(C22×F5) = (C2×F5)⋊Q8 | central stem extension (φ=1) | 80 | | C2^2.99(C2^2xF5) | 320,1128 |
C22.100(C22×F5) = C24.4F5 | central stem extension (φ=1) | 80 | | C2^2.100(C2^2xF5) | 320,1136 |
C22.101(C22×F5) = C24⋊4F5 | central stem extension (φ=1) | 40 | | C2^2.101(C2^2xF5) | 320,1138 |