Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃xS₃

Direct product G=NxQ with N=C₄ and Q=C₃xS₃

		d	ρ	Label	ID
S₃xC₁₂		24	2	S3xC12	72,27

Semidirect products G=N:Q with N=C₄ and Q=C₃xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₃xS₃) = C₃xD₁₂	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₄	24	2	C4:(C3xS3)	72,28

Non-split extensions G=N.Q with N=C₄ and Q=C₃xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃xS₃) = C₃xDic₆	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₄	24	2	C4.(C3xS3)	72,26
C₄.₂(C₃xS₃) = C₃xC₃:C₈	central extension (φ=1)	24	2	C4.2(C3xS3)	72,12

Extensions 1→N→G→Q→1 with N=C4 and Q=C3xS3