Extensions 1→N→G→Q→1 with N=C3⋊S3 and Q=C2×Q8

Direct product G=N×Q with N=C3⋊S3 and Q=C2×Q8
dρLabelID
C2×Q8×C3⋊S3144C2xQ8xC3:S3288,1010

Semidirect products G=N:Q with N=C3⋊S3 and Q=C2×Q8
extensionφ:Q→Out NdρLabelID
C3⋊S3⋊(C2×Q8) = C22×PSU3(𝔽2)φ: C2×Q8/C22C22 ⊆ Out C3⋊S336C3:S3:(C2xQ8)288,1032
C3⋊S32(C2×Q8) = C2×Dic3.D6φ: C2×Q8/C2×C4C2 ⊆ Out C3⋊S348C3:S3:2(C2xQ8)288,947
C3⋊S33(C2×Q8) = S32×Q8φ: C2×Q8/Q8C2 ⊆ Out C3⋊S3488-C3:S3:3(C2xQ8)288,965

Non-split extensions G=N.Q with N=C3⋊S3 and Q=C2×Q8
extensionφ:Q→Out NdρLabelID
C3⋊S3.1(C2×Q8) = S32⋊Q8φ: C2×Q8/C4C22 ⊆ Out C3⋊S3244C3:S3.1(C2xQ8)288,868
C3⋊S3.2(C2×Q8) = C32⋊C4⋊Q8φ: C2×Q8/C4C22 ⊆ Out C3⋊S3488-C3:S3.2(C2xQ8)288,870
C3⋊S3.3(C2×Q8) = C4⋊PSU3(𝔽2)φ: C2×Q8/C4C22 ⊆ Out C3⋊S3368C3:S3.3(C2xQ8)288,893
C3⋊S3.4(C2×Q8) = C2×C3⋊S3.Q8φ: C2×Q8/C22C22 ⊆ Out C3⋊S348C3:S3.4(C2xQ8)288,882
C3⋊S3.5(C2×Q8) = C2×C4⋊(C32⋊C4)φ: C2×Q8/C2×C4C2 ⊆ Out C3⋊S348C3:S3.5(C2xQ8)288,933
C3⋊S3.6(C2×Q8) = Q8×C32⋊C4φ: C2×Q8/Q8C2 ⊆ Out C3⋊S3488-C3:S3.6(C2xQ8)288,938

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