Extensions 1→N→G→Q→1 with N=C₃×D₄ and Q=Q₈

Direct product G=N×Q with N=C₃×D₄ and Q=Q₈

		d	ρ	Label	ID
C₃×D₄×Q₈		96		C3xD4xQ8	192,1438

Semidirect products G=N:Q with N=C₃×D₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄)⋊₁Q₈ = Dic₃.D₈	φ: Q₈/C₂ → C₂² ⊆ Out C₃×D₄	96		(C3xD4):1Q8	192,318
(C₃×D₄)⋊₂Q₈ = D₄⋊Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out C₃×D₄	96		(C3xD4):2Q8	192,320
(C₃×D₄)⋊₃Q₈ = C₁₂.₅₀D₈	φ: Q₈/C₄ → C₂ ⊆ Out C₃×D₄	96		(C3xD4):3Q8	192,566
(C₃×D₄)⋊₄Q₈ = C₁₂.₃₈SD₁₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃×D₄	96		(C3xD4):4Q8	192,567
(C₃×D₄)⋊₅Q₈ = D₄×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃×D₄	96		(C3xD4):5Q8	192,1096
(C₃×D₄)⋊₆Q₈ = D₄⋊₅Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃×D₄	96		(C3xD4):6Q8	192,1098
(C₃×D₄)⋊₇Q₈ = D₄⋊₆Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃×D₄	96		(C3xD4):7Q8	192,1102
(C₃×D₄)⋊₈Q₈ = C₃×D₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₃×D₄	96		(C3xD4):8Q8	192,907
(C₃×D₄)⋊₉Q₈ = C₃×D₄⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₃×D₄	96		(C3xD4):9Q8	192,909
(C₃×D₄)⋊₁₀Q₈ = C₃×D₄⋊₃Q₈	φ: trivial image	96		(C3xD4):10Q8	192,1443

Non-split extensions G=N.Q with N=C₃×D₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄).₁Q₈ = D₄.Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out C₃×D₄	96		(C3xD4).1Q8	192,322
(C₃×D₄).₂Q₈ = D₄.₂Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out C₃×D₄	96		(C3xD4).2Q8	192,325
(C₃×D₄).₃Q₈ = D₄.₃Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃×D₄	96		(C3xD4).3Q8	192,568
(C₃×D₄).₄Q₈ = C₃×D₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₃×D₄	96		(C3xD4).4Q8	192,911

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