Extensions 1→N→G→Q→1 with N=C₂²×Q₈ and Q=D₇

Direct product G=N×Q with N=C₂²×Q₈ and Q=D₇

		d	ρ	Label	ID
C₂²×Q₈×D₇		224		C2^2xQ8xD7	448,1372

Semidirect products G=N:Q with N=C₂²×Q₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Q₈)⋊₁D₇ = (C₇×Q₈)⋊₁₃D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	224		(C2^2xQ8):1D7	448,761
(C₂²×Q₈)⋊₂D₇ = (C₂²×Q₈)⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	224		(C2^2xQ8):2D7	448,765
(C₂²×Q₈)⋊₃D₇ = C₂²×Q₈⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	224		(C2^2xQ8):3D7	448,1260
(C₂²×Q₈)⋊₄D₇ = C₂×C₂₈.C₂³	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	224		(C2^2xQ8):4D7	448,1261
(C₂²×Q₈)⋊₅D₇ = C₂×D₁₄⋊₃Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	224		(C2^2xQ8):5D7	448,1266
(C₂²×Q₈)⋊₆D₇ = C₂×C₂₈.₂₃D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	224		(C2^2xQ8):6D7	448,1267
(C₂²×Q₈)⋊₇D₇ = Q₈×C₇⋊D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	224		(C2^2xQ8):7D7	448,1268
(C₂²×Q₈)⋊₈D₇ = C₁₄.₄₄2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	224		(C2^2xQ8):8D7	448,1269
(C₂²×Q₈)⋊₉D₇ = C₁₄.₄₅2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	224		(C2^2xQ8):9D7	448,1270
(C₂²×Q₈)⋊₁₀D₇ = C₂×Q₈.₁₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	224		(C2^2xQ8):10D7	448,1374
(C₂²×Q₈)⋊₁₁D₇ = C₂²×Q₈⋊₂D₇	φ: trivial image	224		(C2^2xQ8):11D7	448,1373

Non-split extensions G=N.Q with N=C₂²×Q₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Q₈).₁D₇ = C₂×Q₈⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	448		(C2^2xQ8).1D7	448,758
(C₂²×Q₈).₂D₇ = (Q₈×C₁₄)⋊₆C₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	224		(C2^2xQ8).2D7	448,759
(C₂²×Q₈).₃D₇ = C₂×C₂₈.₁₀D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	224		(C2^2xQ8).3D7	448,760
(C₂²×Q₈).₄D₇ = (C₂×C₁₄)⋊₈Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	224		(C2^2xQ8).4D7	448,762
(C₂²×Q₈).₅D₇ = C₁₄.C₂²≀C₂	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	448		(C2^2xQ8).5D7	448,763
(C₂²×Q₈).₆D₇ = (Q₈×C₁₄)⋊₇C₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	448		(C2^2xQ8).6D7	448,764
(C₂²×Q₈).₇D₇ = C₂²×C₇⋊Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	448		(C2^2xQ8).7D7	448,1262
(C₂²×Q₈).₈D₇ = C₂×Dic₇⋊Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	448		(C2^2xQ8).8D7	448,1263
(C₂²×Q₈).₉D₇ = C₁₄.₄₂2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂²×Q₈	224		(C2^2xQ8).9D7	448,1265
(C₂²×Q₈).₁₀D₇ = C₂×Q₈×Dic₇	φ: trivial image	448		(C2^2xQ8).10D7	448,1264

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