Extensions 1→N→G→Q→1 with N=D₄⋊Dic₇ and Q=C₂

Direct product G=N×Q with N=D₄⋊Dic₇ and Q=C₂

		d	ρ	Label	ID
C₂×D₄⋊Dic₇		224		C2xD4:Dic7	448,748

Semidirect products G=N:Q with N=D₄⋊Dic₇ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₄⋊Dic₇⋊₁C₂ = Dic₇.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:1C2	448,294
D₄⋊Dic₇⋊₂C₂ = C₄⋊C₄.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:2C2	448,298
D₄⋊Dic₇⋊₃C₂ = D₇×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	112	D4:Dic7:3C2	448,303
D₄⋊Dic₇⋊₄C₂ = (D₄×D₇)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	112	D4:Dic7:4C2	448,304
D₄⋊Dic₇⋊₅C₂ = D₄⋊(C₄×D₇)	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:5C2	448,305
D₄⋊Dic₇⋊₆C₂ = D₄⋊₂D₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:6C2	448,306
D₄⋊Dic₇⋊₇C₂ = D₁₄.D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:7C2	448,308
D₄⋊Dic₇⋊₈C₂ = D₁₄.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:8C2	448,311
D₄⋊Dic₇⋊₉C₂ = C₈⋊Dic₇⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:9C2	448,313
D₄⋊Dic₇⋊₁₀C₂ = C₅₆⋊₁C₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:10C2	448,318
D₄⋊Dic₇⋊₁₁C₂ = C₄².₄₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:11C2	448,548
D₄⋊Dic₇⋊₁₂C₂ = (C₂×C₁₄).D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:12C2	448,567
D₄⋊Dic₇⋊₁₃C₂ = C₄⋊D₄.D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:13C2	448,568
D₄⋊Dic₇⋊₁₄C₂ = (C₂×D₄).D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:14C2	448,569
D₄⋊Dic₇⋊₁₅C₂ = C₇⋊C₈⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:15C2	448,572
D₄⋊Dic₇⋊₁₆C₂ = C₄⋊D₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:16C2	448,573
D₄⋊Dic₇⋊₁₇C₂ = C₇⋊C₈⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:17C2	448,575
D₄⋊Dic₇⋊₁₈C₂ = C₇⋊C₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:18C2	448,576
D₄⋊Dic₇⋊₁₉C₂ = D₂₈.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:19C2	448,591
D₄⋊Dic₇⋊₂₀C₂ = C₂₈.₁₆D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:20C2	448,604
D₄⋊Dic₇⋊₂₁C₂ = C₄².₇₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:21C2	448,605
D₄⋊Dic₇⋊₂₂C₂ = C₂₈⋊₂D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:22C2	448,606
D₄⋊Dic₇⋊₂₃C₂ = Dic₁₄⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:23C2	448,609
D₄⋊Dic₇⋊₂₄C₂ = D₈×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:24C2	448,683
D₄⋊Dic₇⋊₂₅C₂ = Dic₇⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:25C2	448,684
D₄⋊Dic₇⋊₂₆C₂ = D₈⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:26C2	448,686
D₄⋊Dic₇⋊₂₇C₂ = (C₂×D₈).D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:27C2	448,687
D₄⋊Dic₇⋊₂₈C₂ = D₂₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	112	D4:Dic7:28C2	448,690
D₄⋊Dic₇⋊₂₉C₂ = C₅₆⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:29C2	448,691
D₄⋊Dic₇⋊₃₀C₂ = Dic₁₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:30C2	448,692
D₄⋊Dic₇⋊₃₁C₂ = C₅₆⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:31C2	448,693
D₄⋊Dic₇⋊₃₂C₂ = Dic₇⋊₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:32C2	448,697
D₄⋊Dic₇⋊₃₃C₂ = D₁₄⋊₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	112	D4:Dic7:33C2	448,703
D₄⋊Dic₇⋊₃₄C₂ = C₅₆⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:34C2	448,705
D₄⋊Dic₇⋊₃₅C₂ = Dic₁₄.₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:35C2	448,707
D₄⋊Dic₇⋊₃₆C₂ = C₅₆⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:36C2	448,708
D₄⋊Dic₇⋊₃₇C₂ = (D₄×C₁₄)⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	112	D4:Dic7:37C2	448,749
D₄⋊Dic₇⋊₃₈C₂ = (C₂×C₁₄)⋊₈D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	112	D4:Dic7:38C2	448,751
D₄⋊Dic₇⋊₃₉C₂ = (C₇×D₄).₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	112	D4:Dic7:39C2	448,752
D₄⋊Dic₇⋊₄₀C₂ = C₄○D₄⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:40C2	448,766
D₄⋊Dic₇⋊₄₁C₂ = (C₇×D₄)⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:41C2	448,772
D₄⋊Dic₇⋊₄₂C₂ = (C₇×D₄).₃₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7:42C2	448,773
D₄⋊Dic₇⋊₄₃C₂ = C₄×D₄⋊D₇	φ: trivial image	224	D4:Dic7:43C2	448,547
D₄⋊Dic₇⋊₄₄C₂ = C₂₈.(C₂×D₄)	φ: trivial image	224	D4:Dic7:44C2	448,767

Non-split extensions G=N.Q with N=D₄⋊Dic₇ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₄⋊Dic₇.₁C₂ = Dic₇.D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.1C2	448,293
D₄⋊Dic₇.₂C₂ = D₄⋊Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.2C2	448,295
D₄⋊Dic₇.₃C₂ = D₄.Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.3C2	448,297
D₄⋊Dic₇.₄C₂ = C₂₈⋊Q₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.4C2	448,299
D₄⋊Dic₇.₅C₂ = D₄.₂Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.5C2	448,300
D₄⋊Dic₇.₆C₂ = (C₈×Dic₇)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.6C2	448,302
D₄⋊Dic₇.₇C₂ = C₂₈.₅₀D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.7C2	448,541
D₄⋊Dic₇.₈C₂ = C₂₈.₃₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.8C2	448,542
D₄⋊Dic₇.₉C₂ = D₄.₃Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.9C2	448,543
D₄⋊Dic₇.₁₀C₂ = C₄².₅₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.10C2	448,552
D₄⋊Dic₇.₁₁C₂ = C₄².₆₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.11C2	448,588
D₄⋊Dic₇.₁₂C₂ = C₄².₆₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.12C2	448,589
D₄⋊Dic₇.₁₃C₂ = C₄².₂₁₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.13C2	448,590
D₄⋊Dic₇.₁₄C₂ = SD₁₆×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.14C2	448,695
D₄⋊Dic₇.₁₅C₂ = SD₁₆⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.15C2	448,698
D₄⋊Dic₇.₁₆C₂ = (C₇×Q₈).D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₇	224	D4:Dic7.16C2	448,700
D₄⋊Dic₇.₁₇C₂ = C₄×D₄.D₇	φ: trivial image	224	D4:Dic7.17C2	448,551

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Extensions 1→N→G→Q→1 with N=D4⋊Dic7 and Q=C2

Extensions 1→N→G→Q→1 with N=D₄⋊Dic₇ and Q=C₂