Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C42.C2

Direct product G=N×Q with N=C2 and Q=C2×C42.C2
dρLabelID
C22×C42.C2128C2^2xC4^2.C2128,2169


Non-split extensions G=N.Q with N=C2 and Q=C2×C42.C2
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C42.C2) = C2×C428C4central extension (φ=1)128C2.1(C2xC4^2.C2)128,1013
C2.2(C2×C42.C2) = C2×C23.63C23central extension (φ=1)128C2.2(C2xC4^2.C2)128,1020
C2.3(C2×C42.C2) = C2×C23.65C23central extension (φ=1)128C2.3(C2xC4^2.C2)128,1023
C2.4(C2×C42.C2) = C4×C42.C2central extension (φ=1)128C2.4(C2xC4^2.C2)128,1037
C2.5(C2×C42.C2) = C2×C23.81C23central stem extension (φ=1)128C2.5(C2xC4^2.C2)128,1123
C2.6(C2×C42.C2) = C2×C23.83C23central stem extension (φ=1)128C2.6(C2xC4^2.C2)128,1126
C2.7(C2×C42.C2) = C42.34Q8central stem extension (φ=1)128C2.7(C2xC4^2.C2)128,1134
C2.8(C2×C42.C2) = C24.569C23central stem extension (φ=1)64C2.8(C2xC4^2.C2)128,1174
C2.9(C2×C42.C2) = C24.572C23central stem extension (φ=1)64C2.9(C2xC4^2.C2)128,1205
C2.10(C2×C42.C2) = C23.405C24central stem extension (φ=1)64C2.10(C2xC4^2.C2)128,1237
C2.11(C2×C42.C2) = C23.406C24central stem extension (φ=1)128C2.11(C2xC4^2.C2)128,1238
C2.12(C2×C42.C2) = C23.407C24central stem extension (φ=1)128C2.12(C2xC4^2.C2)128,1239
C2.13(C2×C42.C2) = C23.408C24central stem extension (φ=1)128C2.13(C2xC4^2.C2)128,1240
C2.14(C2×C42.C2) = C23.409C24central stem extension (φ=1)128C2.14(C2xC4^2.C2)128,1241
C2.15(C2×C42.C2) = C42.35Q8central stem extension (φ=1)128C2.15(C2xC4^2.C2)128,1284
C2.16(C2×C42.C2) = C24.584C23central stem extension (φ=1)64C2.16(C2xC4^2.C2)128,1301
C2.17(C2×C42.C2) = C42.36Q8central stem extension (φ=1)128C2.17(C2xC4^2.C2)128,1302
C2.18(C2×C42.C2) = C42.37Q8central stem extension (φ=1)128C2.18(C2xC4^2.C2)128,1303
C2.19(C2×C42.C2) = C23.546C24central stem extension (φ=1)64C2.19(C2xC4^2.C2)128,1378
C2.20(C2×C42.C2) = C42.39Q8central stem extension (φ=1)128C2.20(C2xC4^2.C2)128,1379
C2.21(C2×C42.C2) = C42.439D4central stem extension (φ=1)64C2.21(C2xC4^2.C2)128,1583
C2.22(C2×C42.C2) = C43.15C2central stem extension (φ=1)128C2.22(C2xC4^2.C2)128,1591
C2.23(C2×C42.C2) = C43.18C2central stem extension (φ=1)128C2.23(C2xC4^2.C2)128,1596

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