Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C32⋊C4

Direct product G=N×Q with N=C22 and Q=C2×C32⋊C4
dρLabelID
C23×C32⋊C448C2^3xC3^2:C4288,1039

Semidirect products G=N:Q with N=C22 and Q=C2×C32⋊C4
extensionφ:Q→Aut NdρLabelID
C221(C2×C32⋊C4) = D4×C32⋊C4φ: C2×C32⋊C4/C32⋊C4C2 ⊆ Aut C22248+C2^2:1(C2xC3^2:C4)288,936
C222(C2×C32⋊C4) = C2×C62⋊C4φ: C2×C32⋊C4/C2×C3⋊S3C2 ⊆ Aut C2224C2^2:2(C2xC3^2:C4)288,941

Non-split extensions G=N.Q with N=C22 and Q=C2×C32⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C32⋊C4) = C62.(C2×C4)φ: C2×C32⋊C4/C32⋊C4C2 ⊆ Aut C22488-C2^2.1(C2xC3^2:C4)288,935
C22.2(C2×C32⋊C4) = (C6×C12)⋊C4φ: C2×C32⋊C4/C2×C3⋊S3C2 ⊆ Aut C22244+C2^2.2(C2xC3^2:C4)288,422
C22.3(C2×C32⋊C4) = C3⋊Dic3.D4φ: C2×C32⋊C4/C2×C3⋊S3C2 ⊆ Aut C22484-C2^2.3(C2xC3^2:C4)288,428
C22.4(C2×C32⋊C4) = (C2×C62)⋊C4φ: C2×C32⋊C4/C2×C3⋊S3C2 ⊆ Aut C22244C2^2.4(C2xC3^2:C4)288,434
C22.5(C2×C32⋊C4) = (C2×C62).C4φ: C2×C32⋊C4/C2×C3⋊S3C2 ⊆ Aut C22244C2^2.5(C2xC3^2:C4)288,436
C22.6(C2×C32⋊C4) = C3⋊S3⋊M4(2)φ: C2×C32⋊C4/C2×C3⋊S3C2 ⊆ Aut C22244C2^2.6(C2xC3^2:C4)288,931
C22.7(C2×C32⋊C4) = (C6×C12)⋊5C4φ: C2×C32⋊C4/C2×C3⋊S3C2 ⊆ Aut C22244C2^2.7(C2xC3^2:C4)288,934
C22.8(C2×C32⋊C4) = C4×C322C8central extension (φ=1)96C2^2.8(C2xC3^2:C4)288,423
C22.9(C2×C32⋊C4) = (C3×C12)⋊4C8central extension (φ=1)96C2^2.9(C2xC3^2:C4)288,424
C22.10(C2×C32⋊C4) = C322C8⋊C4central extension (φ=1)96C2^2.10(C2xC3^2:C4)288,425
C22.11(C2×C32⋊C4) = C62.6(C2×C4)central extension (φ=1)48C2^2.11(C2xC3^2:C4)288,426
C22.12(C2×C32⋊C4) = C325(C4⋊C8)central extension (φ=1)96C2^2.12(C2xC3^2:C4)288,427
C22.13(C2×C32⋊C4) = (C6×C12)⋊2C4central extension (φ=1)48C2^2.13(C2xC3^2:C4)288,429
C22.14(C2×C32⋊C4) = C623C8central extension (φ=1)48C2^2.14(C2xC3^2:C4)288,435
C22.15(C2×C32⋊C4) = C2×C3⋊S33C8central extension (φ=1)48C2^2.15(C2xC3^2:C4)288,929
C22.16(C2×C32⋊C4) = C2×C32⋊M4(2)central extension (φ=1)48C2^2.16(C2xC3^2:C4)288,930
C22.17(C2×C32⋊C4) = C2×C4×C32⋊C4central extension (φ=1)48C2^2.17(C2xC3^2:C4)288,932
C22.18(C2×C32⋊C4) = C2×C4⋊(C32⋊C4)central extension (φ=1)48C2^2.18(C2xC3^2:C4)288,933
C22.19(C2×C32⋊C4) = C22×C322C8central extension (φ=1)96C2^2.19(C2xC3^2:C4)288,939
C22.20(C2×C32⋊C4) = C2×C62.C4central extension (φ=1)48C2^2.20(C2xC3^2:C4)288,940

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