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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C22⋊F5

Direct product G=N×Q with N=C2 and Q=C2×C22⋊F5
dρLabelID
C22×C22⋊F580C2^2xC2^2:F5320,1607


Non-split extensions G=N.Q with N=C2 and Q=C2×C22⋊F5
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C22⋊F5) = C2×D10⋊C8central extension (φ=1)160C2.1(C2xC2^2:F5)320,1089
C2.2(C2×C22⋊F5) = D10.11M4(2)central extension (φ=1)80C2.2(C2xC2^2:F5)320,1091
C2.3(C2×C22⋊F5) = C2×D10.3Q8central extension (φ=1)80C2.3(C2xC2^2:F5)320,1100
C2.4(C2×C22⋊F5) = C4×C22⋊F5central extension (φ=1)80C2.4(C2xC2^2:F5)320,1101
C2.5(C2×C22⋊F5) = C2×C23.2F5central extension (φ=1)160C2.5(C2xC2^2:F5)320,1135
C2.6(C2×C22⋊F5) = C2×D10.D4central stem extension (φ=1)80C2.6(C2xC2^2:F5)320,1082
C2.7(C2×C22⋊F5) = C23⋊F5⋊5C2central stem extension (φ=1)804C2.7(C2xC2^2:F5)320,1083
C2.8(C2×C22⋊F5) = D10⋊9M4(2)central stem extension (φ=1)80C2.8(C2xC2^2:F5)320,1093
C2.9(C2×C22⋊F5) = D10⋊10M4(2)central stem extension (φ=1)80C2.9(C2xC2^2:F5)320,1094
C2.10(C2×C22⋊F5) = C2×Dic5.D4central stem extension (φ=1)160C2.10(C2xC2^2:F5)320,1098
C2.11(C2×C22⋊F5) = (C4×D5).D4central stem extension (φ=1)804C2.11(C2xC2^2:F5)320,1099
C2.12(C2×C22⋊F5) = (C22×C4)⋊7F5central stem extension (φ=1)80C2.12(C2xC2^2:F5)320,1102
C2.13(C2×C22⋊F5) = D10⋊6(C4⋊C4)central stem extension (φ=1)80C2.13(C2xC2^2:F5)320,1103
C2.14(C2×C22⋊F5) = C2×D20⋊C4central stem extension (φ=1)80C2.14(C2xC2^2:F5)320,1104
C2.15(C2×C22⋊F5) = (D4×C10)⋊C4central stem extension (φ=1)408+C2.15(C2xC2^2:F5)320,1105
C2.16(C2×C22⋊F5) = C2×D4⋊F5central stem extension (φ=1)80C2.16(C2xC2^2:F5)320,1106
C2.17(C2×C22⋊F5) = (C2×D4)⋊6F5central stem extension (φ=1)808-C2.17(C2xC2^2:F5)320,1107
C2.18(C2×C22⋊F5) = (C2×D4)⋊7F5central stem extension (φ=1)408+C2.18(C2xC2^2:F5)320,1108
C2.19(C2×C22⋊F5) = (C2×D4)⋊8F5central stem extension (φ=1)808-C2.19(C2xC2^2:F5)320,1109
C2.20(C2×C22⋊F5) = (C2×D4).7F5central stem extension (φ=1)160C2.20(C2xC2^2:F5)320,1113
C2.21(C2×C22⋊F5) = (C2×D4).8F5central stem extension (φ=1)160C2.21(C2xC2^2:F5)320,1114
C2.22(C2×C22⋊F5) = (C2×D4).9F5central stem extension (φ=1)808-C2.22(C2xC2^2:F5)320,1115
C2.23(C2×C22⋊F5) = D5⋊(C4.D4)central stem extension (φ=1)408+C2.23(C2xC2^2:F5)320,1116
C2.24(C2×C22⋊F5) = (C2×F5)⋊D4central stem extension (φ=1)40C2.24(C2xC2^2:F5)320,1117
C2.25(C2×C22⋊F5) = C2.(D4×F5)central stem extension (φ=1)80C2.25(C2xC2^2:F5)320,1118
C2.26(C2×C22⋊F5) = C2×Q8⋊F5central stem extension (φ=1)80C2.26(C2xC2^2:F5)320,1119
C2.27(C2×C22⋊F5) = (C2×Q8)⋊4F5central stem extension (φ=1)808-C2.27(C2xC2^2:F5)320,1120
C2.28(C2×C22⋊F5) = C2×Q8⋊2F5central stem extension (φ=1)80C2.28(C2xC2^2:F5)320,1121
C2.29(C2×C22⋊F5) = (C2×Q8)⋊6F5central stem extension (φ=1)808+C2.29(C2xC2^2:F5)320,1122
C2.30(C2×C22⋊F5) = (C2×Q8)⋊7F5central stem extension (φ=1)808+C2.30(C2xC2^2:F5)320,1123
C2.31(C2×C22⋊F5) = (C2×Q8).5F5central stem extension (φ=1)160C2.31(C2xC2^2:F5)320,1125
C2.32(C2×C22⋊F5) = (C2×Q8).7F5central stem extension (φ=1)808-C2.32(C2xC2^2:F5)320,1127
C2.33(C2×C22⋊F5) = (C2×F5)⋊Q8central stem extension (φ=1)80C2.33(C2xC2^2:F5)320,1128
C2.34(C2×C22⋊F5) = D5⋊C4≀C2central stem extension (φ=1)408C2.34(C2xC2^2:F5)320,1130
C2.35(C2×C22⋊F5) = C4○D4⋊F5central stem extension (φ=1)408C2.35(C2xC2^2:F5)320,1131
C2.36(C2×C22⋊F5) = C4○D20⋊C4central stem extension (φ=1)808C2.36(C2xC2^2:F5)320,1132
C2.37(C2×C22⋊F5) = D4⋊F5⋊C2central stem extension (φ=1)808C2.37(C2xC2^2:F5)320,1133
C2.38(C2×C22⋊F5) = C2×C23⋊F5central stem extension (φ=1)80C2.38(C2xC2^2:F5)320,1134
C2.39(C2×C22⋊F5) = C24.4F5central stem extension (φ=1)80C2.39(C2xC2^2:F5)320,1136
C2.40(C2×C22⋊F5) = C2×C23.F5central stem extension (φ=1)80C2.40(C2xC2^2:F5)320,1137
C2.41(C2×C22⋊F5) = C24⋊4F5central stem extension (φ=1)40C2.41(C2xC2^2:F5)320,1138

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