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Extensions 1→N→G→Q→1 with N=C22 and Q=C22×F5

Direct product G=N×Q with N=C22 and Q=C22×F5
dρLabelID
C24×F580C2^4xF5320,1638

Semidirect products G=N:Q with N=C22 and Q=C22×F5
extensionφ:Q→Aut NdρLabelID
C22⋊1(C22×F5) = C2×D4×F5φ: C22×F5/C2×F5 → C2 ⊆ Aut C2240C2^2:1(C2^2xF5)320,1595
C22⋊2(C22×F5) = C22×C22⋊F5φ: C22×F5/C22×D5 → C2 ⊆ Aut C2280C2^2:2(C2^2xF5)320,1607

Non-split extensions G=N.Q with N=C22 and Q=C22×F5
extensionφ:Q→Aut NdρLabelID
C22.1(C22×F5) = C2×D4.F5φ: C22×F5/C2×F5 → C2 ⊆ Aut C22160C2^2.1(C2^2xF5)320,1593
C22.2(C22×F5) = D10.C24φ: C22×F5/C2×F5 → C2 ⊆ Aut C22408+C2^2.2(C2^2xF5)320,1596
C22.3(C22×F5) = Dic5.21C24φ: C22×F5/C2×F5 → C2 ⊆ Aut C22808C2^2.3(C2^2xF5)320,1601
C22.4(C22×F5) = Dic5.22C24φ: C22×F5/C2×F5 → C2 ⊆ Aut C22808C2^2.4(C2^2xF5)320,1602
C22.5(C22×F5) = C4○D4×F5φ: C22×F5/C2×F5 → C2 ⊆ Aut C22408C2^2.5(C2^2xF5)320,1603
C22.6(C22×F5) = D5.2+ 1+4φ: C22×F5/C2×F5 → C2 ⊆ Aut C22408C2^2.6(C2^2xF5)320,1604
C22.7(C22×F5) = C2×D10.D4φ: C22×F5/C22×D5 → C2 ⊆ Aut C2280C2^2.7(C2^2xF5)320,1082
C22.8(C22×F5) = C23⋊F5⋊5C2φ: C22×F5/C22×D5 → C2 ⊆ Aut C22804C2^2.8(C2^2xF5)320,1083
C22.9(C22×F5) = C2×Dic5.D4φ: C22×F5/C22×D5 → C2 ⊆ Aut C22160C2^2.9(C2^2xF5)320,1098
C22.10(C22×F5) = (C4×D5).D4φ: C22×F5/C22×D5 → C2 ⊆ Aut C22804C2^2.10(C2^2xF5)320,1099
C22.11(C22×F5) = (C2×D4)⋊7F5φ: C22×F5/C22×D5 → C2 ⊆ Aut C22408+C2^2.11(C2^2xF5)320,1108
C22.12(C22×F5) = (C2×D4)⋊8F5φ: C22×F5/C22×D5 → C2 ⊆ Aut C22808-C2^2.12(C2^2xF5)320,1109
C22.13(C22×F5) = (C2×D4).9F5φ: C22×F5/C22×D5 → C2 ⊆ Aut C22808-C2^2.13(C2^2xF5)320,1115
C22.14(C22×F5) = D5⋊(C4.D4)φ: C22×F5/C22×D5 → C2 ⊆ Aut C22408+C2^2.14(C2^2xF5)320,1116
C22.15(C22×F5) = (C2×Q8)⋊7F5φ: C22×F5/C22×D5 → C2 ⊆ Aut C22808+C2^2.15(C2^2xF5)320,1123
C22.16(C22×F5) = (C2×Q8).7F5φ: C22×F5/C22×D5 → C2 ⊆ Aut C22808-C2^2.16(C2^2xF5)320,1127
C22.17(C22×F5) = C2×C23⋊F5φ: C22×F5/C22×D5 → C2 ⊆ Aut C2280C2^2.17(C2^2xF5)320,1134
C22.18(C22×F5) = C2×C23.F5φ: C22×F5/C22×D5 → C2 ⊆ Aut C2280C2^2.18(C2^2xF5)320,1137
C22.19(C22×F5) = C2×D5⋊M4(2)φ: C22×F5/C22×D5 → C2 ⊆ Aut C2280C2^2.19(C2^2xF5)320,1589
C22.20(C22×F5) = C2×D10.C23φ: C22×F5/C22×D5 → C2 ⊆ Aut C2280C2^2.20(C2^2xF5)320,1592
C22.21(C22×F5) = Dic5.C24φ: C22×F5/C22×D5 → C2 ⊆ Aut C22808-C2^2.21(C2^2xF5)320,1594
C22.22(C22×F5) = Dic5.20C24φ: C22×F5/C22×D5 → C2 ⊆ Aut C22808+C2^2.22(C2^2xF5)320,1598
C22.23(C22×F5) = D5.2- 1+4φ: C22×F5/C22×D5 → C2 ⊆ Aut C22808-C2^2.23(C2^2xF5)320,1600
C22.24(C22×F5) = C4×D5⋊C8central extension (φ=1)160C2^2.24(C2^2xF5)320,1013
C22.25(C22×F5) = C42.5F5central extension (φ=1)160C2^2.25(C2^2xF5)320,1014
C22.26(C22×F5) = C4×C4.F5central extension (φ=1)160C2^2.26(C2^2xF5)320,1015
C22.27(C22×F5) = C42.6F5central extension (φ=1)160C2^2.27(C2^2xF5)320,1016
C22.28(C22×F5) = C42.11F5central extension (φ=1)160C2^2.28(C2^2xF5)320,1017
C22.29(C22×F5) = C42.12F5central extension (φ=1)160C2^2.29(C2^2xF5)320,1018
C22.30(C22×F5) = C42×F5central extension (φ=1)80C2^2.30(C2^2xF5)320,1023
C22.31(C22×F5) = C42⋊4F5central extension (φ=1)80C2^2.31(C2^2xF5)320,1024
C22.32(C22×F5) = C4×C4⋊F5central extension (φ=1)80C2^2.32(C2^2xF5)320,1025
C22.33(C22×F5) = Dic5.C42central extension (φ=1)160C2^2.33(C2^2xF5)320,1029
C22.34(C22×F5) = C5⋊C8⋊8D4central extension (φ=1)160C2^2.34(C2^2xF5)320,1030
C22.35(C22×F5) = C22⋊C4×F5central extension (φ=1)40C2^2.35(C2^2xF5)320,1036
C22.36(C22×F5) = D10.C42central extension (φ=1)160C2^2.36(C2^2xF5)320,1039
C22.37(C22×F5) = D20⋊2C8central extension (φ=1)160C2^2.37(C2^2xF5)320,1040
C22.38(C22×F5) = Dic10⋊C8central extension (φ=1)320C2^2.38(C2^2xF5)320,1041
C22.39(C22×F5) = C4⋊C4×F5central extension (φ=1)80C2^2.39(C2^2xF5)320,1048
C22.40(C22×F5) = C2×C4×C5⋊C8central extension (φ=1)320C2^2.40(C2^2xF5)320,1084
C22.41(C22×F5) = C2×C20⋊C8central extension (φ=1)320C2^2.41(C2^2xF5)320,1085
C22.42(C22×F5) = Dic5.12M4(2)central extension (φ=1)160C2^2.42(C2^2xF5)320,1086
C22.43(C22×F5) = C2×C10.C42central extension (φ=1)320C2^2.43(C2^2xF5)320,1087
C22.44(C22×F5) = C4×C22.F5central extension (φ=1)160C2^2.44(C2^2xF5)320,1088
C22.45(C22×F5) = C2×D10⋊C8central extension (φ=1)160C2^2.45(C2^2xF5)320,1089
C22.46(C22×F5) = C2×Dic5⋊C8central extension (φ=1)320C2^2.46(C2^2xF5)320,1090
C22.47(C22×F5) = D10.11M4(2)central extension (φ=1)80C2^2.47(C2^2xF5)320,1091
C22.48(C22×F5) = C20.34M4(2)central extension (φ=1)160C2^2.48(C2^2xF5)320,1092
C22.49(C22×F5) = C2×D10.3Q8central extension (φ=1)80C2^2.49(C2^2xF5)320,1100
C22.50(C22×F5) = C4×C22⋊F5central extension (φ=1)80C2^2.50(C2^2xF5)320,1101
C22.51(C22×F5) = D4×C5⋊C8central extension (φ=1)160C2^2.51(C2^2xF5)320,1110
C22.52(C22×F5) = Q8×C5⋊C8central extension (φ=1)320C2^2.52(C2^2xF5)320,1124
C22.53(C22×F5) = C2×C23.2F5central extension (φ=1)160C2^2.53(C2^2xF5)320,1135
C22.54(C22×F5) = C22×D5⋊C8central extension (φ=1)160C2^2.54(C2^2xF5)320,1587
C22.55(C22×F5) = C22×C4.F5central extension (φ=1)160C2^2.55(C2^2xF5)320,1588
C22.56(C22×F5) = C22×C4×F5central extension (φ=1)80C2^2.56(C2^2xF5)320,1590
C22.57(C22×F5) = C22×C4⋊F5central extension (φ=1)80C2^2.57(C2^2xF5)320,1591
C22.58(C22×F5) = C2×Q8.F5central extension (φ=1)160C2^2.58(C2^2xF5)320,1597
C22.59(C22×F5) = C2×Q8×F5central extension (φ=1)80C2^2.59(C2^2xF5)320,1599
C22.60(C22×F5) = C23×C5⋊C8central extension (φ=1)320C2^2.60(C2^2xF5)320,1605
C22.61(C22×F5) = C22×C22.F5central extension (φ=1)160C2^2.61(C2^2xF5)320,1606
C22.62(C22×F5) = C20⋊3M4(2)central stem extension (φ=1)160C2^2.62(C2^2xF5)320,1019
C22.63(C22×F5) = C42.14F5central stem extension (φ=1)160C2^2.63(C2^2xF5)320,1020
C22.64(C22×F5) = C42.15F5central stem extension (φ=1)160C2^2.64(C2^2xF5)320,1021
C22.65(C22×F5) = C42.7F5central stem extension (φ=1)160C2^2.65(C2^2xF5)320,1022
C22.66(C22×F5) = C42⋊8F5central stem extension (φ=1)80C2^2.66(C2^2xF5)320,1026
C22.67(C22×F5) = C42⋊9F5central stem extension (φ=1)80C2^2.67(C2^2xF5)320,1027
C22.68(C22×F5) = C42⋊5F5central stem extension (φ=1)80C2^2.68(C2^2xF5)320,1028
C22.69(C22×F5) = C5⋊C8⋊D4central stem extension (φ=1)160C2^2.69(C2^2xF5)320,1031
C22.70(C22×F5) = D10⋊M4(2)central stem extension (φ=1)160C2^2.70(C2^2xF5)320,1032
C22.71(C22×F5) = Dic5⋊M4(2)central stem extension (φ=1)160C2^2.71(C2^2xF5)320,1033
C22.72(C22×F5) = C20⋊C8⋊C2central stem extension (φ=1)160C2^2.72(C2^2xF5)320,1034
C22.73(C22×F5) = C23.(C2×F5)central stem extension (φ=1)160C2^2.73(C2^2xF5)320,1035
C22.74(C22×F5) = D10⋊(C4⋊C4)central stem extension (φ=1)40C2^2.74(C2^2xF5)320,1037
C22.75(C22×F5) = C10.(C4×D4)central stem extension (φ=1)80C2^2.75(C2^2xF5)320,1038
C22.76(C22×F5) = D10⋊2M4(2)central stem extension (φ=1)160C2^2.76(C2^2xF5)320,1042
C22.77(C22×F5) = C20⋊M4(2)central stem extension (φ=1)160C2^2.77(C2^2xF5)320,1043
C22.78(C22×F5) = C4⋊C4.7F5central stem extension (φ=1)160C2^2.78(C2^2xF5)320,1044
C22.79(C22×F5) = Dic5.M4(2)central stem extension (φ=1)320C2^2.79(C2^2xF5)320,1045
C22.80(C22×F5) = C4⋊C4.9F5central stem extension (φ=1)160C2^2.80(C2^2xF5)320,1046
C22.81(C22×F5) = C20.M4(2)central stem extension (φ=1)320C2^2.81(C2^2xF5)320,1047
C22.82(C22×F5) = C4⋊C4⋊5F5central stem extension (φ=1)80C2^2.82(C2^2xF5)320,1049
C22.83(C22×F5) = C20⋊(C4⋊C4)central stem extension (φ=1)80C2^2.83(C2^2xF5)320,1050
C22.84(C22×F5) = D10⋊9M4(2)central stem extension (φ=1)80C2^2.84(C2^2xF5)320,1093
C22.85(C22×F5) = D10⋊10M4(2)central stem extension (φ=1)80C2^2.85(C2^2xF5)320,1094
C22.86(C22×F5) = Dic5.13M4(2)central stem extension (φ=1)160C2^2.86(C2^2xF5)320,1095
C22.87(C22×F5) = C20⋊8M4(2)central stem extension (φ=1)160C2^2.87(C2^2xF5)320,1096
C22.88(C22×F5) = C20.30M4(2)central stem extension (φ=1)160C2^2.88(C2^2xF5)320,1097
C22.89(C22×F5) = (C22×C4)⋊7F5central stem extension (φ=1)80C2^2.89(C2^2xF5)320,1102
C22.90(C22×F5) = D10⋊6(C4⋊C4)central stem extension (φ=1)80C2^2.90(C2^2xF5)320,1103
C22.91(C22×F5) = C5⋊C8⋊7D4central stem extension (φ=1)160C2^2.91(C2^2xF5)320,1111
C22.92(C22×F5) = C20⋊2M4(2)central stem extension (φ=1)160C2^2.92(C2^2xF5)320,1112
C22.93(C22×F5) = (C2×D4).7F5central stem extension (φ=1)160C2^2.93(C2^2xF5)320,1113
C22.94(C22×F5) = (C2×D4).8F5central stem extension (φ=1)160C2^2.94(C2^2xF5)320,1114
C22.95(C22×F5) = (C2×F5)⋊D4central stem extension (φ=1)40C2^2.95(C2^2xF5)320,1117
C22.96(C22×F5) = C2.(D4×F5)central stem extension (φ=1)80C2^2.96(C2^2xF5)320,1118
C22.97(C22×F5) = (C2×Q8).5F5central stem extension (φ=1)160C2^2.97(C2^2xF5)320,1125
C22.98(C22×F5) = C20.6M4(2)central stem extension (φ=1)320C2^2.98(C2^2xF5)320,1126
C22.99(C22×F5) = (C2×F5)⋊Q8central stem extension (φ=1)80C2^2.99(C2^2xF5)320,1128
C22.100(C22×F5) = C24.4F5central stem extension (φ=1)80C2^2.100(C2^2xF5)320,1136
C22.101(C22×F5) = C24⋊4F5central stem extension (φ=1)40C2^2.101(C2^2xF5)320,1138

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