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

Direct product G=N×Q with N=C₄ and Q=C₃×S₃

		d	ρ	Label	ID
S₃×C₁₂		24	2	S3xC12	72,27

Semidirect products G=N:Q with N=C₄ and Q=C₃×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃×S₃) = C₃×D₁₂	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₄	24	2	C4:(C3xS3)	72,28

Non-split extensions G=N.Q with N=C₄ and Q=C₃×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃×S₃) = C₃×Dic₆	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₄	24	2	C4.(C3xS3)	72,26
C₄.₂(C₃×S₃) = C₃×C₃⋊C₈	central extension (φ=1)	24	2	C4.2(C3xS3)	72,12

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