Extensions 1→N→G→Q→1 with N=Q₈×C₃×C₉ and Q=C₂

Direct product G=N×Q with N=Q₈×C₃×C₉ and Q=C₂

		d	ρ	Label	ID
Q₈×C₃×C₁₈		432		Q8xC3xC18	432,406

Semidirect products G=N:Q with N=Q₈×C₃×C₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃×C₉)⋊₁C₂ = C₃×Q₈⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₉	144	4	(Q8xC3xC9):1C2	432,157
(Q₈×C₃×C₉)⋊₂C₂ = C₃₆.₂₀D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₉	216		(Q8xC3xC9):2C2	432,195
(Q₈×C₃×C₉)⋊₃C₂ = C₃×Q₈×D₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₉	144	4	(Q8xC3xC9):3C2	432,364
(Q₈×C₃×C₉)⋊₄C₂ = C₃×Q₈⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₉	144	4	(Q8xC3xC9):4C2	432,365
(Q₈×C₃×C₉)⋊₅C₂ = Q₈×C₉⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₉	216		(Q8xC3xC9):5C2	432,392
(Q₈×C₃×C₉)⋊₆C₂ = C₃₆.₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₉	216		(Q8xC3xC9):6C2	432,393
(Q₈×C₃×C₉)⋊₇C₂ = C₉×Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₉	144	4	(Q8xC3xC9):7C2	432,158
(Q₈×C₃×C₉)⋊₈C₂ = SD₁₆×C₃×C₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₉	216		(Q8xC3xC9):8C2	432,218
(Q₈×C₃×C₉)⋊₉C₂ = S₃×Q₈×C₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₉	144	4	(Q8xC3xC9):9C2	432,366
(Q₈×C₃×C₉)⋊₁₀C₂ = C₉×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₉	144	4	(Q8xC3xC9):10C2	432,367
(Q₈×C₃×C₉)⋊₁₁C₂ = C₄○D₄×C₃×C₉	φ: trivial image	216		(Q8xC3xC9):11C2	432,409

Non-split extensions G=N.Q with N=Q₈×C₃×C₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃×C₉).₁C₂ = C₃×C₉⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₉	144	4	(Q8xC3xC9).1C2	432,156
(Q₈×C₃×C₉).₂C₂ = C₃₆.₁₉D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₉	432		(Q8xC3xC9).2C2	432,194
(Q₈×C₃×C₉).₃C₂ = C₉×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₉	144	4	(Q8xC3xC9).3C2	432,159
(Q₈×C₃×C₉).₄C₂ = Q₁₆×C₃×C₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₉	432		(Q8xC3xC9).4C2	432,221

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