# Extensions 1→N→G→Q→1 with N=C3⋊S3 and Q=C22×C4

Direct product G=N×Q with N=C3⋊S3 and Q=C22×C4
dρLabelID
C22×C4×C3⋊S3144C2^2xC4xC3:S3288,1004

Semidirect products G=N:Q with N=C3⋊S3 and Q=C22×C4
extensionφ:Q→Out NdρLabelID
C3⋊S31(C22×C4) = S32×C2×C4φ: C22×C4/C2×C4C2 ⊆ Out C3⋊S348C3:S3:1(C2^2xC4)288,950
C3⋊S32(C22×C4) = C22×C6.D6φ: C22×C4/C23C2 ⊆ Out C3⋊S348C3:S3:2(C2^2xC4)288,972
C3⋊S33(C22×C4) = C23×C32⋊C4φ: C22×C4/C23C2 ⊆ Out C3⋊S348C3:S3:3(C2^2xC4)288,1039

Non-split extensions G=N.Q with N=C3⋊S3 and Q=C22×C4
extensionφ:Q→Out NdρLabelID
C3⋊S3.1(C22×C4) = C4×S3≀C2φ: C22×C4/C4C22 ⊆ Out C3⋊S3244C3:S3.1(C2^2xC4)288,877
C3⋊S3.2(C22×C4) = C4×PSU3(𝔽2)φ: C22×C4/C4C22 ⊆ Out C3⋊S3368C3:S3.2(C2^2xC4)288,892
C3⋊S3.3(C22×C4) = C22×F9φ: C22×C4/C22C4 ⊆ Out C3⋊S336C3:S3.3(C2^2xC4)288,1030
C3⋊S3.4(C22×C4) = C2×S32⋊C4φ: C22×C4/C22C22 ⊆ Out C3⋊S324C3:S3.4(C2^2xC4)288,880
C3⋊S3.5(C22×C4) = C2×C3⋊S3.Q8φ: C22×C4/C22C22 ⊆ Out C3⋊S348C3:S3.5(C2^2xC4)288,882
C3⋊S3.6(C22×C4) = C2×C2.PSU3(𝔽2)φ: C22×C4/C22C22 ⊆ Out C3⋊S348C3:S3.6(C2^2xC4)288,894
C3⋊S3.7(C22×C4) = C2×C4×C32⋊C4φ: C22×C4/C2×C4C2 ⊆ Out C3⋊S348C3:S3.7(C2^2xC4)288,932

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