Extensions 1→N→G→Q→1 with N=C4 and Q=C3×C32⋊C4

Direct product G=N×Q with N=C4 and Q=C3×C32⋊C4
dρLabelID
C12×C32⋊C4484C12xC3^2:C4432,630

Semidirect products G=N:Q with N=C4 and Q=C3×C32⋊C4
extensionφ:Q→Aut NdρLabelID
C4⋊(C3×C32⋊C4) = C3×C4⋊(C32⋊C4)φ: C3×C32⋊C4/C3×C3⋊S3 → C2 ⊆ Aut C4484C4:(C3xC3^2:C4)432,631

Non-split extensions G=N.Q with N=C4 and Q=C3×C32⋊C4
extensionφ:Q→Aut NdρLabelID
C4.(C3×C32⋊C4) = C3×C32⋊M4(2)φ: C3×C32⋊C4/C3×C3⋊S3 → C2 ⊆ Aut C4484C4.(C3xC3^2:C4)432,629
C4.2(C3×C32⋊C4) = C3×C32⋊2C16central extension (φ=1)484C4.2(C3xC3^2:C4)432,412
C4.3(C3×C32⋊C4) = C3×C3⋊S3⋊3C8central extension (φ=1)484C4.3(C3xC3^2:C4)432,628

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