Extensions 1→N→G→Q→1 with N=C₃×D₄ and Q=D₉

Direct product G=N×Q with N=C₃×D₄ and Q=D₉

		d	ρ	Label	ID
C₃×D₄×D₉		72	4	C3xD4xD9	432,356

Semidirect products G=N:Q with N=C₃×D₄ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄)⋊₁D₉ = C₃₆.₁₈D₆	φ: D₉/C₉ → C₂ ⊆ Out C₃×D₄	216		(C3xD4):1D9	432,191
(C₃×D₄)⋊₂D₉ = D₄×C₉⋊S₃	φ: D₉/C₉ → C₂ ⊆ Out C₃×D₄	108		(C3xD4):2D9	432,388
(C₃×D₄)⋊₃D₉ = C₃₆.₂₇D₆	φ: D₉/C₉ → C₂ ⊆ Out C₃×D₄	216		(C3xD4):3D9	432,389
(C₃×D₄)⋊₄D₉ = C₃×D₄⋊D₉	φ: D₉/C₉ → C₂ ⊆ Out C₃×D₄	72	4	(C3xD4):4D9	432,149
(C₃×D₄)⋊₅D₉ = C₃×D₄⋊₂D₉	φ: trivial image	72	4	(C3xD4):5D9	432,357

Non-split extensions G=N.Q with N=C₃×D₄ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄).₁D₉ = D₄.D₂₇	φ: D₉/C₉ → C₂ ⊆ Out C₃×D₄	216	4-	(C3xD4).1D9	432,15
(C₃×D₄).₂D₉ = D₄⋊D₂₇	φ: D₉/C₉ → C₂ ⊆ Out C₃×D₄	216	4+	(C3xD4).2D9	432,16
(C₃×D₄).₃D₉ = D₄×D₂₇	φ: D₉/C₉ → C₂ ⊆ Out C₃×D₄	108	4+	(C3xD4).3D9	432,47
(C₃×D₄).₄D₉ = D₄⋊₂D₂₇	φ: D₉/C₉ → C₂ ⊆ Out C₃×D₄	216	4-	(C3xD4).4D9	432,48
(C₃×D₄).₅D₉ = C₃₆.₁₇D₆	φ: D₉/C₉ → C₂ ⊆ Out C₃×D₄	216		(C3xD4).5D9	432,190
(C₃×D₄).₆D₉ = C₃×D₄.D₉	φ: D₉/C₉ → C₂ ⊆ Out C₃×D₄	72	4	(C3xD4).6D9	432,148

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