Extensions 1→N→G→Q→1 with N=Q₈⋊Dic₇ and Q=C₂

Direct product G=N×Q with N=Q₈⋊Dic₇ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈⋊Dic₇		448		C2xQ8:Dic7	448,758

Semidirect products G=N:Q with N=Q₈⋊Dic₇ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
Q₈⋊Dic₇⋊₁C₂ = Q₈⋊C₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:1C2	448,329
Q₈⋊Dic₇⋊₂C₂ = Q₈⋊Dic₇⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:2C2	448,334
Q₈⋊Dic₇⋊₃C₂ = D₇×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:3C2	448,335
Q₈⋊Dic₇⋊₄C₂ = (Q₈×D₇)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:4C2	448,336
Q₈⋊Dic₇⋊₅C₂ = Q₈⋊(C₄×D₇)	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:5C2	448,337
Q₈⋊Dic₇⋊₆C₂ = Q₈⋊₂D₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:6C2	448,338
Q₈⋊Dic₇⋊₇C₂ = D₁₄.₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:7C2	448,339
Q₈⋊Dic₇⋊₈C₂ = D₁₄.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:8C2	448,343
Q₈⋊Dic₇⋊₉C₂ = D₁₄⋊C₈.C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:9C2	448,348
Q₈⋊Dic₇⋊₁₀C₂ = (C₂×C₈).D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:10C2	448,349
Q₈⋊Dic₇⋊₁₁C₂ = C₄².₅₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:11C2	448,560
Q₈⋊Dic₇⋊₁₂C₂ = C₂²⋊Q₈.D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:12C2	448,577
Q₈⋊Dic₇⋊₁₃C₂ = (C₂×C₁₄).Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:13C2	448,578
Q₈⋊Dic₇⋊₁₄C₂ = C₁₄.(C₄○D₈)	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:14C2	448,579
Q₈⋊Dic₇⋊₁₅C₂ = C₇⋊C₈⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:15C2	448,582
Q₈⋊Dic₇⋊₁₆C₂ = C₇⋊C₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:16C2	448,583
Q₈⋊Dic₇⋊₁₇C₂ = C₇⋊C₈.₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:17C2	448,585
Q₈⋊Dic₇⋊₁₈C₂ = C₇⋊C₈.₆D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:18C2	448,586
Q₈⋊Dic₇⋊₁₉C₂ = C₄².₆₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:19C2	448,588
Q₈⋊Dic₇⋊₂₀C₂ = C₄².₆₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:20C2	448,589
Q₈⋊Dic₇⋊₂₁C₂ = C₄².₂₁₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:21C2	448,590
Q₈⋊Dic₇⋊₂₂C₂ = D₂₈.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:22C2	448,591
Q₈⋊Dic₇⋊₂₃C₂ = C₂₈⋊₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:23C2	448,617
Q₈⋊Dic₇⋊₂₄C₂ = SD₁₆×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:24C2	448,695
Q₈⋊Dic₇⋊₂₅C₂ = Dic₇⋊₃SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:25C2	448,696
Q₈⋊Dic₇⋊₂₆C₂ = SD₁₆⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:26C2	448,698
Q₈⋊Dic₇⋊₂₇C₂ = (C₇×D₄).D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:27C2	448,699
Q₈⋊Dic₇⋊₂₈C₂ = Dic₁₄⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:28C2	448,704
Q₈⋊Dic₇⋊₂₉C₂ = C₅₆⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:29C2	448,705
Q₈⋊Dic₇⋊₃₀C₂ = D₂₈⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:30C2	448,706
Q₈⋊Dic₇⋊₃₁C₂ = C₅₆⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:31C2	448,708
Q₈⋊Dic₇⋊₃₂C₂ = (C₂×Q₁₆)⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:32C2	448,719
Q₈⋊Dic₇⋊₃₃C₂ = D₁₄⋊₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:33C2	448,720
Q₈⋊Dic₇⋊₃₄C₂ = D₂₈.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:34C2	448,721
Q₈⋊Dic₇⋊₃₅C₂ = D₁₄⋊₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:35C2	448,722
Q₈⋊Dic₇⋊₃₆C₂ = C₅₆.₃₆D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:36C2	448,723
Q₈⋊Dic₇⋊₃₇C₂ = (Q₈×C₁₄)⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:37C2	448,759
Q₈⋊Dic₇⋊₃₈C₂ = (C₇×Q₈)⋊₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:38C2	448,761
Q₈⋊Dic₇⋊₃₉C₂ = (C₂×C₁₄)⋊₈Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:39C2	448,762
Q₈⋊Dic₇⋊₄₀C₂ = C₄○D₄⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:40C2	448,766
Q₈⋊Dic₇⋊₄₁C₂ = (C₇×D₄)⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:41C2	448,772
Q₈⋊Dic₇⋊₄₂C₂ = (C₇×D₄).₃₂D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	224	Q8:Dic7:42C2	448,773
Q₈⋊Dic₇⋊₄₃C₂ = C₄×Q₈⋊D₇	φ: trivial image	224	Q8:Dic7:43C2	448,559
Q₈⋊Dic₇⋊₄₄C₂ = C₂₈.(C₂×D₄)	φ: trivial image	224	Q8:Dic7:44C2	448,767

Non-split extensions G=N.Q with N=Q₈⋊Dic₇ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
Q₈⋊Dic₇.₁C₂ = Q₈⋊Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.1C2	448,325
Q₈⋊Dic₇.₂C₂ = Dic₇.₁Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.2C2	448,326
Q₈⋊Dic₇.₃C₂ = Dic₇.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.3C2	448,328
Q₈⋊Dic₇.₄C₂ = Q₈.Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.4C2	448,330
Q₈⋊Dic₇.₅C₂ = C₅₆⋊C₄.C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.5C2	448,331
Q₈⋊Dic₇.₆C₂ = Q₈.₂Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.6C2	448,333
Q₈⋊Dic₇.₇C₂ = C₂₈.₄₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.7C2	448,554
Q₈⋊Dic₇.₈C₂ = C₂₈.₂₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.8C2	448,555
Q₈⋊Dic₇.₉C₂ = Q₈.₃Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.9C2	448,556
Q₈⋊Dic₇.₁₀C₂ = C₄².₅₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.10C2	448,564
Q₈⋊Dic₇.₁₁C₂ = C₂₈.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.11C2	448,615
Q₈⋊Dic₇.₁₂C₂ = C₄².₇₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.12C2	448,616
Q₈⋊Dic₇.₁₃C₂ = C₂₈⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.13C2	448,624
Q₈⋊Dic₇.₁₄C₂ = Dic₇⋊₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.14C2	448,716
Q₈⋊Dic₇.₁₅C₂ = Q₁₆×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.15C2	448,717
Q₈⋊Dic₇.₁₆C₂ = Q₁₆⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₇	448	Q8:Dic7.16C2	448,718
Q₈⋊Dic₇.₁₇C₂ = C₄×C₇⋊Q₁₆	φ: trivial image	448	Q8:Dic7.17C2	448,563

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Extensions 1→N→G→Q→1 with N=Q8⋊Dic7 and Q=C2

Extensions 1→N→G→Q→1 with N=Q₈⋊Dic₇ and Q=C₂