Extensions 1→N→G→Q→1 with N=Dic₇⋊C₈ and Q=C₂

Direct product G=N×Q with N=Dic₇⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₇⋊C₈		448		C2xDic7:C8	448,633

Semidirect products G=N:Q with N=Dic₇⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
Dic₇⋊C₈⋊₁C₂ = C₄².₂₄₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:1C2	448,224
Dic₇⋊C₈⋊₂C₂ = Dic₇⋊C₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:2C2	448,636
Dic₇⋊C₈⋊₃C₂ = C₅₆⋊₃₂D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:3C2	448,645
Dic₇⋊C₈⋊₄C₂ = Dic₇.D₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:4C2	448,293
Dic₇⋊C₈⋊₅C₂ = D₄.₂Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:5C2	448,300
Dic₇⋊C₈⋊₆C₂ = Dic₁₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:6C2	448,301
Dic₇⋊C₈⋊₇C₂ = D₂₈⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:7C2	448,320
Dic₇⋊C₈⋊₈C₂ = D₂₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:8C2	448,353
Dic₇⋊C₈⋊₉C₂ = D₄⋊Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:9C2	448,295
Dic₇⋊C₈⋊₁₀C₂ = Dic₁₄⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:10C2	448,296
Dic₇⋊C₈⋊₁₁C₂ = D₄.Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:11C2	448,297
Dic₇⋊C₈⋊₁₂C₂ = D₂₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:12C2	448,321
Dic₇⋊C₈⋊₁₃C₂ = Dic₁₄.₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:13C2	448,332
Dic₇⋊C₈⋊₁₄C₂ = Dic₇⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:14C2	448,352
Dic₇⋊C₈⋊₁₅C₂ = Dic₇.₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:15C2	448,252
Dic₇⋊C₈⋊₁₆C₂ = Dic₇.M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:16C2	448,253
Dic₇⋊C₈⋊₁₇C₂ = C₅₆⋊C₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:17C2	448,254
Dic₇⋊C₈⋊₁₈C₂ = C₇⋊D₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:18C2	448,259
Dic₇⋊C₈⋊₁₉C₂ = D₁₄⋊₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:19C2	448,262
Dic₇⋊C₈⋊₂₀C₂ = Dic₇⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:20C2	448,263
Dic₇⋊C₈⋊₂₁C₂ = C₇⋊C₈⋊₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:21C2	448,264
Dic₇⋊C₈⋊₂₂C₂ = D₇×C₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:22C2	448,366
Dic₇⋊C₈⋊₂₃C₂ = C₂₈⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:23C2	448,371
Dic₇⋊C₈⋊₂₄C₂ = C₄².₃₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:24C2	448,373
Dic₇⋊C₈⋊₂₅C₂ = D₂₈⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:25C2	448,424
Dic₇⋊C₈⋊₂₆C₂ = D₂₈.₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:26C2	448,425
Dic₇⋊C₈⋊₂₇C₂ = Dic₇⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:27C2	448,684
Dic₇⋊C₈⋊₂₈C₂ = (C₂×D₈).D₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:28C2	448,687
Dic₇⋊C₈⋊₂₉C₂ = (C₂×Q₁₆)⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:29C2	448,719
Dic₇⋊C₈⋊₃₀C₂ = D₂₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:30C2	448,404
Dic₇⋊C₈⋊₃₁C₂ = D₂₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:31C2	448,405
Dic₇⋊C₈⋊₃₂C₂ = Dic₇⋊₃SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:32C2	448,696
Dic₇⋊C₈⋊₃₃C₂ = Dic₇⋊₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:33C2	448,697
Dic₇⋊C₈⋊₃₄C₂ = (C₇×D₄).D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:34C2	448,699
Dic₇⋊C₈⋊₃₅C₂ = (C₇×Q₈).D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:35C2	448,700
Dic₇⋊C₈⋊₃₆C₂ = C₄².₁₈₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:36C2	448,239
Dic₇⋊C₈⋊₃₇C₂ = C₄².₁₈₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:37C2	448,243
Dic₇⋊C₈⋊₃₈C₂ = Dic₇⋊₄M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:38C2	448,652
Dic₇⋊C₈⋊₃₉C₂ = C₂₈.₄₃₉(C₂×D₄)	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:39C2	448,653
Dic₇⋊C₈⋊₄₀C₂ = C₅₆⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:40C2	448,661
Dic₇⋊C₈⋊₄₁C₂ = C₅₆⋊₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	224	Dic7:C8:41C2	448,662
Dic₇⋊C₈⋊₄₂C₂ = C₄².₂₈₂D₁₄	φ: trivial image	224	Dic7:C8:42C2	448,219
Dic₇⋊C₈⋊₄₃C₂ = C₈×C₇⋊D₄	φ: trivial image	224	Dic7:C8:43C2	448,643

Non-split extensions G=N.Q with N=Dic₇⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
Dic₇⋊C₈.₁C₂ = C₅₆⋊₁₁Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	448	Dic7:C8.1C2	448,213
Dic₇⋊C₈.₂C₂ = Dic₇⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	448	Dic7:C8.2C2	448,327
Dic₇⋊C₈.₃C₂ = Dic₇.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	448	Dic7:C8.3C2	448,328
Dic₇⋊C₈.₄C₂ = Q₈.Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	448	Dic7:C8.4C2	448,330
Dic₇⋊C₈.₅C₂ = Q₈⋊Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	448	Dic7:C8.5C2	448,325
Dic₇⋊C₈.₆C₂ = Q₈.₂Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	448	Dic7:C8.6C2	448,333
Dic₇⋊C₈.₇C₂ = C₄².₂₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	448	Dic7:C8.7C2	448,362
Dic₇⋊C₈.₈C₂ = Dic₁₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	448	Dic7:C8.8C2	448,364
Dic₇⋊C₈.₉C₂ = C₂₈.M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	448	Dic7:C8.9C2	448,365
Dic₇⋊C₈.₁₀C₂ = Dic₁₄⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	448	Dic7:C8.10C2	448,409
Dic₇⋊C₈.₁₁C₂ = Dic₁₄.₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	448	Dic7:C8.11C2	448,411
Dic₇⋊C₈.₁₂C₂ = Dic₇⋊₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	448	Dic7:C8.12C2	448,716
Dic₇⋊C₈.₁₃C₂ = Dic₁₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	448	Dic7:C8.13C2	448,388
Dic₇⋊C₈.₁₄C₂ = Dic₁₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	448	Dic7:C8.14C2	448,391
Dic₇⋊C₈.₁₅C₂ = C₅₆⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊C₈	448	Dic7:C8.15C2	448,235
Dic₇⋊C₈.₁₆C₂ = C₈×Dic₁₄	φ: trivial image	448	Dic7:C8.16C2	448,212

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Extensions 1→N→G→Q→1 with N=Dic7⋊C8 and Q=C2

Extensions 1→N→G→Q→1 with N=Dic₇⋊C₈ and Q=C₂