Extensions 1→N→G→Q→1 with N=C4 and Q=C3xC32:C4

Direct product G=NxQ with N=C4 and Q=C3xC32:C4
dρLabelID
C12xC32:C4484C12xC3^2:C4432,630

Semidirect products G=N:Q with N=C4 and Q=C3xC32:C4
extensionφ:Q→Aut NdρLabelID
C4:(C3xC32:C4) = C3xC4:(C32:C4)φ: C3xC32:C4/C3xC3:S3C2 ⊆ Aut C4484C4:(C3xC3^2:C4)432,631

Non-split extensions G=N.Q with N=C4 and Q=C3xC32:C4
extensionφ:Q→Aut NdρLabelID
C4.(C3xC32:C4) = C3xC32:M4(2)φ: C3xC32:C4/C3xC3:S3C2 ⊆ Aut C4484C4.(C3xC3^2:C4)432,629
C4.2(C3xC32:C4) = C3xC32:2C16central extension (φ=1)484C4.2(C3xC3^2:C4)432,412
C4.3(C3xC32:C4) = C3xC3:S3:3C8central extension (φ=1)484C4.3(C3xC3^2:C4)432,628

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