Extensions 1→N→G→Q→1 with N=C₉ and Q=S₃×C₈

Direct product G=N×Q with N=C₉ and Q=S₃×C₈

		d	ρ	Label	ID
S₃×C₇₂		144	2	S3xC72	432,109

Semidirect products G=N:Q with N=C₉ and Q=S₃×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(S₃×C₈) = C₃₆.₃₈D₆	φ: S₃×C₈/C₃⋊C₈ → C₂ ⊆ Aut C₉	72	4	C9:1(S3xC8)	432,59
C₉⋊₂(S₃×C₈) = C₈×C₉⋊S₃	φ: S₃×C₈/C₂₄ → C₂ ⊆ Aut C₉	216		C9:2(S3xC8)	432,169
C₉⋊₃(S₃×C₈) = S₃×C₉⋊C₈	φ: S₃×C₈/C₄×S₃ → C₂ ⊆ Aut C₉	144	4	C9:3(S3xC8)	432,66

Non-split extensions G=N.Q with N=C₉ and Q=S₃×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(S₃×C₈) = C₈×D₂₇	φ: S₃×C₈/C₂₄ → C₂ ⊆ Aut C₉	216	2	C9.(S3xC8)	432,5

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Extensions 1→N→G→Q→1 with N=C9 and Q=S3×C8