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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C4.10D4

Direct product G=N×Q with N=C2 and Q=C2×C4.10D4
dρLabelID
C22×C4.10D464C2^2xC4.10D4128,1618


Non-split extensions G=N.Q with N=C2 and Q=C2×C4.10D4
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C4.10D4) = C2×C22.M4(2)central extension (φ=1)64C2.1(C2xC4.10D4)128,189
C2.2(C2×C4.10D4) = C42.394D4central extension (φ=1)64C2.2(C2xC4.10D4)128,193
C2.3(C2×C4.10D4) = C2×C22.C42central extension (φ=1)64C2.3(C2xC4.10D4)128,473
C2.4(C2×C4.10D4) = C4×C4.10D4central extension (φ=1)64C2.4(C2xC4.10D4)128,488
C2.5(C2×C4.10D4) = (C2×C4)⋊M4(2)central stem extension (φ=1)32C2.5(C2xC4.10D4)128,195
C2.6(C2×C4.10D4) = C42.44D4central stem extension (φ=1)64C2.6(C2xC4.10D4)128,199
C2.7(C2×C4.10D4) = C42.396D4central stem extension (φ=1)64C2.7(C2xC4.10D4)128,202
C2.8(C2×C4.10D4) = C24.45(C2×C4)central stem extension (φ=1)32C2.8(C2xC4.10D4)128,204
C2.9(C2×C4.10D4) = C2×C42.2C22central stem extension (φ=1)128C2.9(C2xC4.10D4)128,255
C2.10(C2×C4.10D4) = C42.406D4central stem extension (φ=1)64C2.10(C2xC4.10D4)128,258
C2.11(C2×C4.10D4) = C42.408D4central stem extension (φ=1)64C2.11(C2xC4.10D4)128,260
C2.12(C2×C4.10D4) = C42.68D4central stem extension (φ=1)64C2.12(C2xC4.10D4)128,263
C2.13(C2×C4.10D4) = C42.71D4central stem extension (φ=1)64C2.13(C2xC4.10D4)128,266
C2.14(C2×C4.10D4) = C42.74D4central stem extension (φ=1)64C2.14(C2xC4.10D4)128,269
C2.15(C2×C4.10D4) = C2×C4.10D8central stem extension (φ=1)128C2.15(C2xC4.10D4)128,271
C2.16(C2×C4.10D4) = C42.412D4central stem extension (φ=1)64C2.16(C2xC4.10D4)128,276
C2.17(C2×C4.10D4) = C42.414D4central stem extension (φ=1)64C2.17(C2xC4.10D4)128,278
C2.18(C2×C4.10D4) = C42.416D4central stem extension (φ=1)64C2.18(C2xC4.10D4)128,281
C2.19(C2×C4.10D4) = C42.81D4central stem extension (φ=1)64C2.19(C2xC4.10D4)128,284
C2.20(C2×C4.10D4) = C42.83D4central stem extension (φ=1)64C2.20(C2xC4.10D4)128,288
C2.21(C2×C4.10D4) = C42.88D4central stem extension (φ=1)64C2.21(C2xC4.10D4)128,293
C2.22(C2×C4.10D4) = C4.C22≀C2central stem extension (φ=1)32C2.22(C2xC4.10D4)128,516
C2.23(C2×C4.10D4) = C42.97D4central stem extension (φ=1)64C2.23(C2xC4.10D4)128,533
C2.24(C2×C4.10D4) = (C22×C4).275D4central stem extension (φ=1)32C2.24(C2xC4.10D4)128,553
C2.25(C2×C4.10D4) = M4(2).45D4central stem extension (φ=1)32C2.25(C2xC4.10D4)128,633
C2.26(C2×C4.10D4) = C42.114D4central stem extension (φ=1)64C2.26(C2xC4.10D4)128,698
C2.27(C2×C4.10D4) = M4(2)⋊8Q8central stem extension (φ=1)64C2.27(C2xC4.10D4)128,729

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