Extensions 1→N→G→Q→1 with N=C3 and Q=S32⋊C4

Direct product G=N×Q with N=C3 and Q=S32⋊C4
dρLabelID
C3×S32⋊C4244C3xS3^2:C4432,574

Semidirect products G=N:Q with N=C3 and Q=S32⋊C4
extensionφ:Q→Aut NdρLabelID
C31(S32⋊C4) = C3⋊S3.2D12φ: S32⋊C4/C6.D6C2 ⊆ Aut C3244C3:1(S3^2:C4)432,579
C32(S32⋊C4) = (C3×C6).8D12φ: S32⋊C4/C2×C32⋊C4C2 ⊆ Aut C3248+C3:2(S3^2:C4)432,586
C33(S32⋊C4) = S32⋊Dic3φ: S32⋊C4/C2×S32C2 ⊆ Aut C3244C3:3(S3^2:C4)432,580

Non-split extensions G=N.Q with N=C3 and Q=S32⋊C4
extensionφ:Q→Aut NdρLabelID
C3.(S32⋊C4) = C32⋊D6⋊C4φ: S32⋊C4/C2×C32⋊C4C2 ⊆ Aut C3366C3.(S3^2:C4)432,238

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