Extensions 1→N→G→Q→1 with N=Q₈×C₃² and Q=C₂

Direct product G=N×Q with N=Q₈×C₃² and Q=C₂

		d	ρ	Label	ID
Q₈×C₃×C₆		144		Q8xC3xC6	144,180

Semidirect products G=N:Q with N=Q₈×C₃² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃²)⋊₁C₂ = C₃×Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2):1C2	144,82
(Q₈×C₃²)⋊₂C₂ = C₃²⋊₁₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃²	72		(Q8xC3^2):2C2	144,98
(Q₈×C₃²)⋊₃C₂ = C₃×S₃×Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2):3C2	144,164
(Q₈×C₃²)⋊₄C₂ = C₃×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2):4C2	144,165
(Q₈×C₃²)⋊₅C₂ = Q₈×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃²	72		(Q8xC3^2):5C2	144,174
(Q₈×C₃²)⋊₆C₂ = C₁₂.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃²	72		(Q8xC3^2):6C2	144,175
(Q₈×C₃²)⋊₇C₂ = C₃²×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃²	72		(Q8xC3^2):7C2	144,107
(Q₈×C₃²)⋊₈C₂ = C₃²×C₄○D₄	φ: trivial image	72		(Q8xC3^2):8C2	144,181

Non-split extensions G=N.Q with N=Q₈×C₃² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃²).₁C₂ = C₃×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2).1C2	144,83
(Q₈×C₃²).₂C₂ = C₃²⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃²	144		(Q8xC3^2).2C2	144,99
(Q₈×C₃²).₃C₂ = C₃²×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃²	144		(Q8xC3^2).3C2	144,108

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