Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃×C₉

Direct product G=N×Q with N=C₄ and Q=S₃×C₉

		d	ρ	Label	ID
S₃×C₃₆		72	2	S3xC36	216,47

Semidirect products G=N:Q with N=C₄ and Q=S₃×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(S₃×C₉) = C₉×D₁₂	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₄	72	2	C4:(S3xC9)	216,48

Non-split extensions G=N.Q with N=C₄ and Q=S₃×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(S₃×C₉) = C₉×Dic₆	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₄	72	2	C4.(S3xC9)	216,44
C₄.₂(S₃×C₉) = C₉×C₃⋊C₈	central extension (φ=1)	72	2	C4.2(S3xC9)	216,13

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Extensions 1→N→G→Q→1 with N=C4 and Q=S3×C9