Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C4×Q8

Direct product G=N×Q with N=C2 and Q=C2×C4×Q8
dρLabelID
Q8×C22×C4128Q8xC2^2xC4128,2155


Non-split extensions G=N.Q with N=C2 and Q=C2×C4×Q8
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C4×Q8) = C2×C4×C4⋊C4central extension (φ=1)128C2.1(C2xC4xQ8)128,1001
C2.2(C2×C4×Q8) = Q8×C42central extension (φ=1)128C2.2(C2xC4xQ8)128,1004
C2.3(C2×C4×Q8) = Q8×C2×C8central extension (φ=1)128C2.3(C2xC4xQ8)128,1690
C2.4(C2×C4×Q8) = C2×C23.63C23central stem extension (φ=1)128C2.4(C2xC4xQ8)128,1020
C2.5(C2×C4×Q8) = C2×C23.65C23central stem extension (φ=1)128C2.5(C2xC4xQ8)128,1023
C2.6(C2×C4×Q8) = C2×C23.67C23central stem extension (φ=1)128C2.6(C2xC4xQ8)128,1026
C2.7(C2×C4×Q8) = C4214Q8central stem extension (φ=1)128C2.7(C2xC4xQ8)128,1027
C2.8(C2×C4×Q8) = C4×C22⋊Q8central stem extension (φ=1)64C2.8(C2xC4xQ8)128,1034
C2.9(C2×C4×Q8) = C4×C42.C2central stem extension (φ=1)128C2.9(C2xC4xQ8)128,1037
C2.10(C2×C4×Q8) = C4×C4⋊Q8central stem extension (φ=1)128C2.10(C2xC4xQ8)128,1039
C2.11(C2×C4×Q8) = C23.211C24central stem extension (φ=1)64C2.11(C2xC4xQ8)128,1061
C2.12(C2×C4×Q8) = C42.33Q8central stem extension (φ=1)128C2.12(C2xC4xQ8)128,1062
C2.13(C2×C4×Q8) = C424Q8central stem extension (φ=1)128C2.13(C2xC4xQ8)128,1063
C2.14(C2×C4×Q8) = Q8×C22⋊C4central stem extension (φ=1)64C2.14(C2xC4xQ8)128,1072
C2.15(C2×C4×Q8) = C23.227C24central stem extension (φ=1)64C2.15(C2xC4xQ8)128,1077
C2.16(C2×C4×Q8) = Q8×C4⋊C4central stem extension (φ=1)128C2.16(C2xC4xQ8)128,1082
C2.17(C2×C4×Q8) = C23.237C24central stem extension (φ=1)128C2.17(C2xC4xQ8)128,1087
C2.18(C2×C4×Q8) = C24.558C23central stem extension (φ=1)64C2.18(C2xC4xQ8)128,1092
C2.19(C2×C4×Q8) = C23.247C24central stem extension (φ=1)128C2.19(C2xC4xQ8)128,1097
C2.20(C2×C4×Q8) = C23.250C24central stem extension (φ=1)64C2.20(C2xC4xQ8)128,1100
C2.21(C2×C4×Q8) = C23.251C24central stem extension (φ=1)128C2.21(C2xC4xQ8)128,1101
C2.22(C2×C4×Q8) = C23.252C24central stem extension (φ=1)128C2.22(C2xC4xQ8)128,1102
C2.23(C2×C4×Q8) = C2×C84Q8central stem extension (φ=1)128C2.23(C2xC4xQ8)128,1691
C2.24(C2×C4×Q8) = C42.286C23central stem extension (φ=1)64C2.24(C2xC4xQ8)128,1692
C2.25(C2×C4×Q8) = C42.287C23central stem extension (φ=1)64C2.25(C2xC4xQ8)128,1693
C2.26(C2×C4×Q8) = M4(2)⋊9Q8central stem extension (φ=1)64C2.26(C2xC4xQ8)128,1694
C2.27(C2×C4×Q8) = Q8×M4(2)central stem extension (φ=1)64C2.27(C2xC4xQ8)128,1695

׿
×
𝔽