Extensions 1→N→G→Q→1 with N=C₂×Q₈ and Q=C₂₈

Direct product G=N×Q with N=C₂×Q₈ and Q=C₂₈

		d	ρ	Label	ID
Q₈×C₂×C₂₈		448		Q8xC2xC28	448,1299

Semidirect products G=N:Q with N=C₂×Q₈ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈)⋊₁C₂₈ = C₇×C₂³.₃₁D₄	φ: C₂₈/C₇ → C₄ ⊆ Out C₂×Q₈	112		(C2xQ8):1C28	448,132
(C₂×Q₈)⋊₂C₂₈ = C₇×C₄²⋊₃C₄	φ: C₂₈/C₇ → C₄ ⊆ Out C₂×Q₈	112	4	(C2xQ8):2C28	448,158
(C₂×Q₈)⋊₃C₂₈ = C₇×C₂³.₆₇C₂³	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×Q₈	448		(C2xQ8):3C28	448,799
(C₂×Q₈)⋊₄C₂₈ = C₇×C₂³.C₂³	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×Q₈	112	4	(C2xQ8):4C28	448,818
(C₂×Q₈)⋊₅C₂₈ = C₁₄×Q₈⋊C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×Q₈	448		(C2xQ8):5C28	448,823
(C₂×Q₈)⋊₆C₂₈ = C₇×C₂³.₃₈D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×Q₈	224		(C2xQ8):6C28	448,827
(C₂×Q₈)⋊₇C₂₈ = C₁₄×C₄≀C₂	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×Q₈	112		(C2xQ8):7C28	448,828
(C₂×Q₈)⋊₈C₂₈ = C₇×C₄²⋊C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×Q₈	112	4	(C2xQ8):8C28	448,829
(C₂×Q₈)⋊₉C₂₈ = C₇×C₂³.₃₂C₂³	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×Q₈	224		(C2xQ8):9C28	448,1302

Non-split extensions G=N.Q with N=C₂×Q₈ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈).₁C₂₈ = C₇×C₄².C₂²	φ: C₂₈/C₇ → C₄ ⊆ Out C₂×Q₈	224		(C2xQ8).1C28	448,133
(C₂×Q₈).₂C₂₈ = C₇×C₄.₆Q₁₆	φ: C₂₈/C₇ → C₄ ⊆ Out C₂×Q₈	448		(C2xQ8).2C28	448,137
(C₂×Q₈).₃C₂₈ = C₇×C₄².₃C₄	φ: C₂₈/C₇ → C₄ ⊆ Out C₂×Q₈	112	4	(C2xQ8).3C28	448,160
(C₂×Q₈).₄C₂₈ = C₇×Q₈⋊C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×Q₈	448		(C2xQ8).4C28	448,130
(C₂×Q₈).₅C₂₈ = C₇×(C₂²×C₈)⋊C₂	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×Q₈	224		(C2xQ8).5C28	448,816
(C₂×Q₈).₆C₂₈ = C₁₄×C₄.₁₀D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×Q₈	224		(C2xQ8).6C28	448,820
(C₂×Q₈).₇C₂₈ = C₇×C₈⋊₄Q₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×Q₈	448		(C2xQ8).7C28	448,854
(C₂×Q₈).₈C₂₈ = C₇×Q₈○M₄(2)	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×Q₈	112	4	(C2xQ8).8C28	448,1351
(C₂×Q₈).₉C₂₈ = Q₈×C₅₆	φ: trivial image	448		(C2xQ8).9C28	448,853
(C₂×Q₈).₁₀C₂₈ = C₁₄×C₈○D₄	φ: trivial image	224		(C2xQ8).10C28	448,1350

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