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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C22⋊C8

Direct product G=N×Q with N=C2 and Q=C2×C22⋊C8
dρLabelID
C22×C22⋊C864C2^2xC2^2:C8128,1608


Non-split extensions G=N.Q with N=C2 and Q=C2×C22⋊C8
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C22⋊C8) = C2×C22.7C42central extension (φ=1)128C2.1(C2xC2^2:C8)128,459
C2.2(C2×C22⋊C8) = C4×C22⋊C8central extension (φ=1)64C2.2(C2xC2^2:C8)128,480
C2.3(C2×C22⋊C8) = C2×C22⋊C16central extension (φ=1)64C2.3(C2xC2^2:C8)128,843
C2.4(C2×C22⋊C8) = C2×C23⋊C8central stem extension (φ=1)32C2.4(C2xC2^2:C8)128,188
C2.5(C2×C22⋊C8) = C2×C22.M4(2)central stem extension (φ=1)64C2.5(C2xC2^2:C8)128,189
C2.6(C2×C22⋊C8) = C42.371D4central stem extension (φ=1)32C2.6(C2xC2^2:C8)128,190
C2.7(C2×C22⋊C8) = C23.8M4(2)central stem extension (φ=1)32C2.7(C2xC2^2:C8)128,191
C2.8(C2×C22⋊C8) = C42.393D4central stem extension (φ=1)32C2.8(C2xC2^2:C8)128,192
C2.9(C2×C22⋊C8) = C42.394D4central stem extension (φ=1)64C2.9(C2xC2^2:C8)128,193
C2.10(C2×C22⋊C8) = C2×D4⋊C8central stem extension (φ=1)64C2.10(C2xC2^2:C8)128,206
C2.11(C2×C22⋊C8) = C2×Q8⋊C8central stem extension (φ=1)128C2.11(C2xC2^2:C8)128,207
C2.12(C2×C22⋊C8) = C42.455D4central stem extension (φ=1)64C2.12(C2xC2^2:C8)128,208
C2.13(C2×C22⋊C8) = C42.397D4central stem extension (φ=1)64C2.13(C2xC2^2:C8)128,209
C2.14(C2×C22⋊C8) = C42.398D4central stem extension (φ=1)32C2.14(C2xC2^2:C8)128,210
C2.15(C2×C22⋊C8) = C42.399D4central stem extension (φ=1)64C2.15(C2xC2^2:C8)128,211
C2.16(C2×C22⋊C8) = C24⋊3C8central stem extension (φ=1)32C2.16(C2xC2^2:C8)128,511
C2.17(C2×C22⋊C8) = C42.425D4central stem extension (φ=1)64C2.17(C2xC2^2:C8)128,529
C2.18(C2×C22⋊C8) = C23.32M4(2)central stem extension (φ=1)64C2.18(C2xC2^2:C8)128,549
C2.19(C2×C22⋊C8) = C23.22M4(2)central stem extension (φ=1)64C2.19(C2xC2^2:C8)128,601
C2.20(C2×C22⋊C8) = C42.325D4central stem extension (φ=1)64C2.20(C2xC2^2:C8)128,686
C2.21(C2×C22⋊C8) = C42.327D4central stem extension (φ=1)128C2.21(C2xC2^2:C8)128,716
C2.22(C2×C22⋊C8) = C24.5C8central stem extension (φ=1)32C2.22(C2xC2^2:C8)128,844
C2.23(C2×C22⋊C8) = (C2×D4).5C8central stem extension (φ=1)64C2.23(C2xC2^2:C8)128,845
C2.24(C2×C22⋊C8) = C2×C23.C8central stem extension (φ=1)32C2.24(C2xC2^2:C8)128,846
C2.25(C2×C22⋊C8) = M5(2).19C22central stem extension (φ=1)324C2.25(C2xC2^2:C8)128,847
C2.26(C2×C22⋊C8) = C2×D4.C8central stem extension (φ=1)64C2.26(C2xC2^2:C8)128,848
C2.27(C2×C22⋊C8) = M5(2)⋊12C22central stem extension (φ=1)324C2.27(C2xC2^2:C8)128,849

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