Extensions 1→N→G→Q→1 with N=Q₈×C₃⋊S₃ and Q=C₂

Direct product G=N×Q with N=Q₈×C₃⋊S₃ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈×C₃⋊S₃		144		C2xQ8xC3:S3	288,1010

Semidirect products G=N:Q with N=Q₈×C₃⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃⋊S₃)⋊₁C₂ = D₁₂.₉D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃⋊S₃	48	8-	(Q8xC3:S3):1C2	288,588
(Q₈×C₃⋊S₃)⋊₂C₂ = D₁₂.₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃⋊S₃	48	8-	(Q8xC3:S3):2C2	288,599
(Q₈×C₃⋊S₃)⋊₃C₂ = SD₁₆×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃⋊S₃	72		(Q8xC3:S3):3C2	288,770
(Q₈×C₃⋊S₃)⋊₄C₂ = C₂₄.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃⋊S₃	144		(Q8xC3:S3):4C2	288,772
(Q₈×C₃⋊S₃)⋊₅C₂ = C₂₄.₃₅D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃⋊S₃	144		(Q8xC3:S3):5C2	288,775
(Q₈×C₃⋊S₃)⋊₆C₂ = D₁₂.₂₅D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃⋊S₃	48	8-	(Q8xC3:S3):6C2	288,963
(Q₈×C₃⋊S₃)⋊₇C₂ = S₃²×Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃⋊S₃	48	8-	(Q8xC3:S3):7C2	288,965
(Q₈×C₃⋊S₃)⋊₈C₂ = D₁₂⋊₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃⋊S₃	48	8-	(Q8xC3:S3):8C2	288,967
(Q₈×C₃⋊S₃)⋊₉C₂ = C₃²⋊₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃⋊S₃	144		(Q8xC3:S3):9C2	288,1012
(Q₈×C₃⋊S₃)⋊₁₀C₂ = C₃²⋊₉2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃⋊S₃	144		(Q8xC3:S3):10C2	288,1015
(Q₈×C₃⋊S₃)⋊₁₁C₂ = C₄○D₄×C₃⋊S₃	φ: trivial image	72		(Q8xC3:S3):11C2	288,1013

Non-split extensions G=N.Q with N=Q₈×C₃⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃⋊S₃).₁C₂ = C₃⋊S₃.₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃⋊S₃	48	8-	(Q8xC3:S3).1C2	288,432
(Q₈×C₃⋊S₃).₂C₂ = Dic₆.₉D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃⋊S₃	48	8-	(Q8xC3:S3).2C2	288,592
(Q₈×C₃⋊S₃).₃C₂ = Q₁₆×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃⋊S₃	144		(Q8xC3:S3).3C2	288,774
(Q₈×C₃⋊S₃).₄C₂ = Q₈×C₃²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃⋊S₃	48	8-	(Q8xC3:S3).4C2	288,938

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