Extensions 1→N→G→Q→1 with N=C₄×C₉⋊C₆ and Q=C₂

Direct product G=N×Q with N=C₄×C₉⋊C₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×C₉⋊C₆		72		C2xC4xC9:C6	432,353

Semidirect products G=N:Q with N=C₄×C₉⋊C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₉⋊C₆)⋊₁C₂ = D₄×C₉⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₉⋊C₆	36	12+	(C4xC9:C6):1C2	432,362
(C₄×C₉⋊C₆)⋊₂C₂ = Dic₁₈⋊₂C₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₉⋊C₆	72	12-	(C4xC9:C6):2C2	432,363
(C₄×C₉⋊C₆)⋊₃C₂ = D₃₆⋊₃C₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₉⋊C₆	72	12+	(C4xC9:C6):3C2	432,371
(C₄×C₉⋊C₆)⋊₄C₂ = D₃₆⋊₆C₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₉⋊C₆	72	6	(C4xC9:C6):4C2	432,355

Non-split extensions G=N.Q with N=C₄×C₉⋊C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₉⋊C₆).₁C₂ = Q₈×C₉⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₉⋊C₆	72	12-	(C4xC9:C6).1C2	432,370
(C₄×C₉⋊C₆).₂C₂ = C₇₂⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₉⋊C₆	72	6	(C4xC9:C6).2C2	432,121
(C₄×C₉⋊C₆).₃C₂ = C₈×C₉⋊C₆	φ: trivial image	72	6	(C4xC9:C6).3C2	432,120

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