Extensions 1→N→G→Q→1 with N=C₂×C₄○D₄ and Q=D₇

Direct product G=N×Q with N=C₂×C₄○D₄ and Q=D₇

		d	ρ	Label	ID
C₂×D₇×C₄○D₄		112		C2xD7xC4oD4	448,1375

Semidirect products G=N:Q with N=C₂×C₄○D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄○D₄)⋊₁D₇ = (C₇×D₄)⋊₁₄D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):1D7	448,772
(C₂×C₄○D₄)⋊₂D₇ = C₂×D₄⋊D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112		(C2xC4oD4):2D7	448,1273
(C₂×C₄○D₄)⋊₃D₇ = C₂×D₄.₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):3D7	448,1274
(C₂×C₄○D₄)⋊₄D₇ = C₂₈.C₂⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112	4	(C2xC4oD4):4D7	448,1275
(C₂×C₄○D₄)⋊₅D₇ = C₁₄.₁₀₄2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):5D7	448,1277
(C₂×C₄○D₄)⋊₆D₇ = (C₂×C₂₈)⋊₁₅D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112		(C2xC4oD4):6D7	448,1281
(C₂×C₄○D₄)⋊₇D₇ = C₁₄.₁₄₅2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112		(C2xC4oD4):7D7	448,1282
(C₂×C₄○D₄)⋊₈D₇ = C₁₄.₁₄₆2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112		(C2xC4oD4):8D7	448,1283
(C₂×C₄○D₄)⋊₉D₇ = C₁₄.₁₀₇2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):9D7	448,1284
(C₂×C₄○D₄)⋊₁₀D₇ = (C₂×C₂₈)⋊₁₇D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):10D7	448,1285
(C₂×C₄○D₄)⋊₁₁D₇ = C₁₄.₁₀₈2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):11D7	448,1286
(C₂×C₄○D₄)⋊₁₂D₇ = C₁₄.₁₄₈2₊¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):12D7	448,1287
(C₂×C₄○D₄)⋊₁₃D₇ = C₂×D₄⋊₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112		(C2xC4oD4):13D7	448,1376
(C₂×C₄○D₄)⋊₁₄D₇ = C₂×D₄.₁₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):14D7	448,1377
(C₂×C₄○D₄)⋊₁₅D₇ = C₁₄.C₂⁵	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112	4	(C2xC4oD4):15D7	448,1378

Non-split extensions G=N.Q with N=C₂×C₄○D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄○D₄).₁D₇ = C₄○D₄⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4).1D7	448,766
(C₂×C₄○D₄).₂D₇ = C₂₈.(C₂×D₄)	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4).2D7	448,767
(C₂×C₄○D₄).₃D₇ = (D₄×C₁₄).₁₁C₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4).3D7	448,768
(C₂×C₄○D₄).₄D₇ = C₂×D₄⋊₂Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112		(C2xC4oD4).4D7	448,769
(C₂×C₄○D₄).₅D₇ = (D₄×C₁₄)⋊₉C₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112	4	(C2xC4oD4).5D7	448,770
(C₂×C₄○D₄).₆D₇ = (D₄×C₁₄).₁₆C₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112	4	(C2xC4oD4).6D7	448,771
(C₂×C₄○D₄).₇D₇ = (C₇×D₄).₃₂D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4).7D7	448,773
(C₂×C₄○D₄).₈D₇ = (D₄×C₁₄)⋊₁₀C₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112	4	(C2xC4oD4).8D7	448,774
(C₂×C₄○D₄).₉D₇ = C₂₈.₇₆C₂⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112	4	(C2xC4oD4).9D7	448,1272
(C₂×C₄○D₄).₁₀D₇ = C₂×D₄.₉D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4).10D7	448,1276
(C₂×C₄○D₄).₁₁D₇ = C₁₄.₁₀₅2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4).11D7	448,1278
(C₂×C₄○D₄).₁₂D₇ = C₁₄.₁₀₆2_-¹⁺⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4).12D7	448,1280
(C₂×C₄○D₄).₁₃D₇ = C₂×Q₈.Dic₇	φ: trivial image	224		(C2xC4oD4).13D7	448,1271
(C₂×C₄○D₄).₁₄D₇ = C₄○D₄×Dic₇	φ: trivial image	224		(C2xC4oD4).14D7	448,1279

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