Extensions 1→N→G→Q→1 with N=C22 and Q=S3×C3⋊S3

Direct product G=N×Q with N=C22 and Q=S3×C3⋊S3
dρLabelID
C22×S3×C3⋊S372C2^2xS3xC3:S3432,768

Semidirect products G=N:Q with N=C22 and Q=S3×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C221(S3×C3⋊S3) = S3×C3⋊S4φ: S3×C3⋊S3/C3×S3S3 ⊆ Aut C222412+C2^2:1(S3xC3:S3)432,747
C222(S3×C3⋊S3) = C3⋊S3×S4φ: S3×C3⋊S3/C3⋊S3S3 ⊆ Aut C2236C2^2:2(S3xC3:S3)432,746
C223(S3×C3⋊S3) = S3×C327D4φ: S3×C3⋊S3/S3×C32C2 ⊆ Aut C2272C2^2:3(S3xC3:S3)432,684
C224(S3×C3⋊S3) = C3⋊S3×C3⋊D4φ: S3×C3⋊S3/C3×C3⋊S3C2 ⊆ Aut C2272C2^2:4(S3xC3:S3)432,685
C225(S3×C3⋊S3) = C6223D6φ: S3×C3⋊S3/C33⋊C2C2 ⊆ Aut C2236C2^2:5(S3xC3:S3)432,686

Non-split extensions G=N.Q with N=C22 and Q=S3×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C22.1(S3×C3⋊S3) = C62.93D6φ: S3×C3⋊S3/S3×C32C2 ⊆ Aut C2272C2^2.1(S3xC3:S3)432,678
C22.2(S3×C3⋊S3) = C62.90D6φ: S3×C3⋊S3/C3×C3⋊S3C2 ⊆ Aut C2272C2^2.2(S3xC3:S3)432,675
C22.3(S3×C3⋊S3) = C62.91D6φ: S3×C3⋊S3/C33⋊C2C2 ⊆ Aut C2272C2^2.3(S3xC3:S3)432,676
C22.4(S3×C3⋊S3) = Dic3×C3⋊Dic3central extension (φ=1)144C2^2.4(S3xC3:S3)432,448
C22.5(S3×C3⋊S3) = C62.77D6central extension (φ=1)144C2^2.5(S3xC3:S3)432,449
C22.6(S3×C3⋊S3) = C62.78D6central extension (φ=1)144C2^2.6(S3xC3:S3)432,450
C22.7(S3×C3⋊S3) = C62.79D6central extension (φ=1)72C2^2.7(S3xC3:S3)432,451
C22.8(S3×C3⋊S3) = C62.80D6central extension (φ=1)144C2^2.8(S3xC3:S3)432,452
C22.9(S3×C3⋊S3) = C62.81D6central extension (φ=1)144C2^2.9(S3xC3:S3)432,453
C22.10(S3×C3⋊S3) = C62.82D6central extension (φ=1)144C2^2.10(S3xC3:S3)432,454
C22.11(S3×C3⋊S3) = C2×S3×C3⋊Dic3central extension (φ=1)144C2^2.11(S3xC3:S3)432,674
C22.12(S3×C3⋊S3) = C2×Dic3×C3⋊S3central extension (φ=1)144C2^2.12(S3xC3:S3)432,677
C22.13(S3×C3⋊S3) = C2×C338(C2×C4)central extension (φ=1)72C2^2.13(S3xC3:S3)432,679
C22.14(S3×C3⋊S3) = C2×C336D4central extension (φ=1)144C2^2.14(S3xC3:S3)432,680
C22.15(S3×C3⋊S3) = C2×C337D4central extension (φ=1)72C2^2.15(S3xC3:S3)432,681
C22.16(S3×C3⋊S3) = C2×C338D4central extension (φ=1)72C2^2.16(S3xC3:S3)432,682
C22.17(S3×C3⋊S3) = C2×C334Q8central extension (φ=1)144C2^2.17(S3xC3:S3)432,683

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