Extensions 1→N→G→Q→1 with N=C₉ and Q=D₄⋊₂S₃

Direct product G=N×Q with N=C₉ and Q=D₄⋊₂S₃

		d	ρ	Label	ID
C₉×D₄⋊₂S₃		72	4	C9xD4:2S3	432,359

Semidirect products G=N:Q with N=C₉ and Q=D₄⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(D₄⋊₂S₃) = D₁₈.D₆	φ: D₄⋊₂S₃/Dic₆ → C₂ ⊆ Aut C₉	72	4	C9:1(D4:2S3)	432,281
C₉⋊₂(D₄⋊₂S₃) = D₃₆⋊₅S₃	φ: D₄⋊₂S₃/C₄×S₃ → C₂ ⊆ Aut C₉	144	4-	C9:2(D4:2S3)	432,288
C₉⋊₃(D₄⋊₂S₃) = D₁₈.₃D₆	φ: D₄⋊₂S₃/C₂×Dic₃ → C₂ ⊆ Aut C₉	72	4	C9:3(D4:2S3)	432,305
C₉⋊₄(D₄⋊₂S₃) = D₁₈.₄D₆	φ: D₄⋊₂S₃/C₃⋊D₄ → C₂ ⊆ Aut C₉	72	4-	C9:4(D4:2S3)	432,310
C₉⋊₅(D₄⋊₂S₃) = C₃₆.₂₇D₆	φ: D₄⋊₂S₃/C₃×D₄ → C₂ ⊆ Aut C₉	216		C9:5(D4:2S3)	432,389

Non-split extensions G=N.Q with N=C₉ and Q=D₄⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(D₄⋊₂S₃) = D₄⋊₂D₂₇	φ: D₄⋊₂S₃/C₃×D₄ → C₂ ⊆ Aut C₉	216	4-	C9.(D4:2S3)	432,48

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