Extensions 1→N→G→Q→1 with N=Q₈⋊C₄ and Q=D₇

Direct product G=N×Q with N=Q₈⋊C₄ and Q=D₇

		d	ρ	Label	ID
D₇×Q₈⋊C₄		224		D7xQ8:C4	448,335

Semidirect products G=N:Q with N=Q₈⋊C₄ and Q=D₇

extension	φ:Q→Out N	d	Label	ID
Q₈⋊C₄⋊₁D₇ = Q₈⋊Dic₇⋊C₂	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:1D7	448,334
Q₈⋊C₄⋊₂D₇ = D₁₄⋊₂SD₁₆	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:2D7	448,341
Q₈⋊C₄⋊₃D₇ = D₁₄⋊Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:3D7	448,347
Q₈⋊C₄⋊₄D₇ = D₁₄⋊₄Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:4D7	448,342
Q₈⋊C₄⋊₅D₇ = D₁₄.Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:5D7	448,343
Q₈⋊C₄⋊₆D₇ = D₂₈⋊₄D₄	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:6D7	448,345
Q₈⋊C₄⋊₇D₇ = D₁₄⋊C₈.C₂	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:7D7	448,348
Q₈⋊C₄⋊₈D₇ = D₂₈.₁₂D₄	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:8D7	448,353
Q₈⋊C₄⋊₉D₇ = Dic₁₄.₁₁D₄	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:9D7	448,332
Q₈⋊C₄⋊₁₀D₇ = D₁₄.₁SD₁₆	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:10D7	448,339
Q₈⋊C₄⋊₁₁D₇ = Q₈⋊₂D₂₈	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:11D7	448,340
Q₈⋊C₄⋊₁₂D₇ = Q₈.D₂₈	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:12D7	448,344
Q₈⋊C₄⋊₁₃D₇ = (C₂×C₈).D₁₄	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:13D7	448,349
Q₈⋊C₄⋊₁₄D₇ = Dic₇⋊SD₁₆	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:14D7	448,352
Q₈⋊C₄⋊₁₅D₇ = Q₈⋊C₄⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:15D7	448,329
Q₈⋊C₄⋊₁₆D₇ = (Q₈×D₇)⋊C₄	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:16D7	448,336
Q₈⋊C₄⋊₁₇D₇ = Q₈⋊(C₄×D₇)	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:17D7	448,337
Q₈⋊C₄⋊₁₈D₇ = C₇⋊(C₈⋊D₄)	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:18D7	448,346
Q₈⋊C₄⋊₁₉D₇ = C₇⋊C₈.D₄	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:19D7	448,350
Q₈⋊C₄⋊₂₀D₇ = Q₈⋊D₇⋊C₄	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:20D7	448,351
Q₈⋊C₄⋊₂₁D₇ = Dic₇⋊₇SD₁₆	φ: trivial image	224	Q8:C4:21D7	448,322
Q₈⋊C₄⋊₂₂D₇ = Q₈⋊₂D₇⋊C₄	φ: trivial image	224	Q8:C4:22D7	448,338

Non-split extensions G=N.Q with N=Q₈⋊C₄ and Q=D₇

extension	φ:Q→Out N	d	Label	ID
Q₈⋊C₄.₁D₇ = Dic₇.₁Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	448	Q8:C4.1D7	448,326
Q₈⋊C₄.₂D₇ = Dic₇⋊Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	448	Q8:C4.2D7	448,327
Q₈⋊C₄.₃D₇ = Dic₇.Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	448	Q8:C4.3D7	448,328
Q₈⋊C₄.₄D₇ = Q₈.Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	448	Q8:C4.4D7	448,330
Q₈⋊C₄.₅D₇ = Q₈⋊Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	448	Q8:C4.5D7	448,325
Q₈⋊C₄.₆D₇ = Q₈.₂Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	448	Q8:C4.6D7	448,333
Q₈⋊C₄.₇D₇ = C₇⋊Q₁₆⋊C₄	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	448	Q8:C4.7D7	448,323
Q₈⋊C₄.₈D₇ = C₅₆⋊C₄.C₂	φ: D₇/C₇ → C₂ ⊆ Out Q₈⋊C₄	448	Q8:C4.8D7	448,331
Q₈⋊C₄.₉D₇ = Dic₇⋊₄Q₁₆	φ: trivial image	448	Q8:C4.9D7	448,324

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Extensions 1→N→G→Q→1 with N=Q8⋊C4 and Q=D7

Extensions 1→N→G→Q→1 with N=Q₈⋊C₄ and Q=D₇