Extensions 1→N→G→Q→1 with N=C3⋊S3 and Q=C2×C8

Direct product G=N×Q with N=C3⋊S3 and Q=C2×C8
dρLabelID
C2×C8×C3⋊S3144C2xC8xC3:S3288,756

Semidirect products G=N:Q with N=C3⋊S3 and Q=C2×C8
extensionφ:Q→Out NdρLabelID
C3⋊S3⋊(C2×C8) = C22×F9φ: C2×C8/C22C4 ⊆ Out C3⋊S336C3:S3:(C2xC8)288,1030
C3⋊S32(C2×C8) = S32×C8φ: C2×C8/C8C2 ⊆ Out C3⋊S3484C3:S3:2(C2xC8)288,437
C3⋊S33(C2×C8) = C2×C12.29D6φ: C2×C8/C2×C4C2 ⊆ Out C3⋊S348C3:S3:3(C2xC8)288,464
C3⋊S34(C2×C8) = C2×C3⋊S33C8φ: C2×C8/C2×C4C2 ⊆ Out C3⋊S348C3:S3:4(C2xC8)288,929

Non-split extensions G=N.Q with N=C3⋊S3 and Q=C2×C8
extensionφ:Q→Out NdρLabelID
C3⋊S3.1(C2×C8) = C4×F9φ: C2×C8/C4C4 ⊆ Out C3⋊S3368C3:S3.1(C2xC8)288,863
C3⋊S3.2(C2×C8) = S32⋊C8φ: C2×C8/C4C22 ⊆ Out C3⋊S3244C3:S3.2(C2xC8)288,374
C3⋊S3.3(C2×C8) = C32⋊C4⋊C8φ: C2×C8/C4C22 ⊆ Out C3⋊S3484C3:S3.3(C2xC8)288,380
C3⋊S3.4(C2×C8) = C4.4PSU3(𝔽2)φ: C2×C8/C4C22 ⊆ Out C3⋊S3488C3:S3.4(C2xC8)288,392
C3⋊S3.5(C2×C8) = C8×C32⋊C4φ: C2×C8/C8C2 ⊆ Out C3⋊S3484C3:S3.5(C2xC8)288,414

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