Extensions 1→N→G→Q→1 with N=C₂₈⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₂₈⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₈⋊C₈		448		C2xC28:C8	448,457

Semidirect products G=N:Q with N=C₂₈⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₈⋊C₈⋊₁C₂ = C₄.₁₇D₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:1C2	448,16
C₂₈⋊C₈⋊₂C₂ = C₈⋊₆D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:2C2	448,222
C₂₈⋊C₈⋊₃C₂ = C₈⋊₉D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:3C2	448,240
C₂₈⋊C₈⋊₄C₂ = C₂₈⋊₇M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:4C2	448,458
C₂₈⋊C₈⋊₅C₂ = C₄².₇Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:5C2	448,460
C₂₈⋊C₈⋊₆C₂ = C₄².₄₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:6C2	448,533
C₂₈⋊C₈⋊₇C₂ = C₄².₁₈₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:7C2	448,534
C₂₈⋊C₈⋊₈C₂ = C₄.D₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:8C2	448,42
C₂₈⋊C₈⋊₉C₂ = C₂₈.₅₇D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:9C2	448,91
C₂₈⋊C₈⋊₁₀C₂ = C₂₈.₉D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:10C2	448,101
C₂₈⋊C₈⋊₁₁C₂ = D₇×C₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:11C2	448,366
C₂₈⋊C₈⋊₁₂C₂ = C₄².₂₀₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:12C2	448,367
C₂₈⋊C₈⋊₁₃C₂ = C₄².₂₀₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:13C2	448,369
C₂₈⋊C₈⋊₁₄C₂ = C₂₈⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:14C2	448,371
C₂₈⋊C₈⋊₁₅C₂ = C₄².₃₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:15C2	448,373
C₂₈⋊C₈⋊₁₆C₂ = C₄².₃₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:16C2	448,374
C₂₈⋊C₈⋊₁₇C₂ = C₂₈.₅₀D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:17C2	448,541
C₂₈⋊C₈⋊₁₈C₂ = C₂₈.₃₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:18C2	448,542
C₂₈⋊C₈⋊₁₉C₂ = D₄.₃Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:19C2	448,543
C₂₈⋊C₈⋊₂₀C₂ = D₄×C₇⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:20C2	448,544
C₂₈⋊C₈⋊₂₁C₂ = C₄².₄₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:21C2	448,545
C₂₈⋊C₈⋊₂₂C₂ = C₂₈⋊₃M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:22C2	448,546
C₂₈⋊C₈⋊₂₃C₂ = C₂₈⋊₇D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:23C2	448,549
C₂₈⋊C₈⋊₂₄C₂ = D₄.₁D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:24C2	448,550
C₂₈⋊C₈⋊₂₅C₂ = D₄.₂D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:25C2	448,553
C₂₈⋊C₈⋊₂₆C₂ = Q₈⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:26C2	448,561
C₂₈⋊C₈⋊₂₇C₂ = Q₈.₁D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:27C2	448,562
C₂₈⋊C₈⋊₂₈C₂ = C₄².₆₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:28C2	448,588
C₂₈⋊C₈⋊₂₉C₂ = D₂₈.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:29C2	448,591
C₂₈⋊C₈⋊₃₀C₂ = D₂₈.₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:30C2	448,600
C₂₈⋊C₈⋊₃₁C₂ = C₂₈⋊₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:31C2	448,606
C₂₈⋊C₈⋊₃₂C₂ = Dic₁₄⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:32C2	448,609
C₂₈⋊C₈⋊₃₃C₂ = C₂₈⋊₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:33C2	448,617
C₂₈⋊C₈⋊₃₄C₂ = D₂₈⋊₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:34C2	448,618
C₂₈⋊C₈⋊₃₅C₂ = D₂₈⋊₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	224	C28:C8:35C2	448,621
C₂₈⋊C₈⋊₃₆C₂ = C₈×D₂₈	φ: trivial image	224	C28:C8:36C2	448,220
C₂₈⋊C₈⋊₃₇C₂ = C₄².₆Dic₇	φ: trivial image	224	C28:C8:37C2	448,459

Non-split extensions G=N.Q with N=C₂₈⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₈⋊C₈.₁C₂ = C₄.₈Dic₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.1C2	448,13
C₂₈⋊C₈.₂C₂ = C₅₆⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.2C2	448,14
C₂₈⋊C₈.₃C₂ = C₅₆⋊₁C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.3C2	448,15
C₂₈⋊C₈.₄C₂ = C₅₆⋊₁₁Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.4C2	448,213
C₂₈⋊C₈.₅C₂ = C₅₆⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.5C2	448,235
C₂₈⋊C₈.₆C₂ = C₂₈.₅₃D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.6C2	448,36
C₂₈⋊C₈.₇C₂ = C₂₈.₃₉SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.7C2	448,37
C₂₈⋊C₈.₈C₂ = C₄.Dic₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.8C2	448,38
C₂₈⋊C₈.₉C₂ = C₂₈.₄₇D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.9C2	448,39
C₂₈⋊C₈.₁₀C₂ = C₂₈.₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.10C2	448,43
C₂₈⋊C₈.₁₁C₂ = C₂₈.₂₆Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.11C2	448,92
C₂₈⋊C₈.₁₂C₂ = C₂₈.₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.12C2	448,103
C₂₈⋊C₈.₁₃C₂ = C₂₈.₁₀D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.13C2	448,104
C₂₈⋊C₈.₁₄C₂ = C₂₈.₄₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.14C2	448,554
C₂₈⋊C₈.₁₅C₂ = C₂₈.₂₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.15C2	448,555
C₂₈⋊C₈.₁₆C₂ = Q₈.₃Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.16C2	448,556
C₂₈⋊C₈.₁₇C₂ = Q₈×C₇⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.17C2	448,557
C₂₈⋊C₈.₁₈C₂ = C₄².₂₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.18C2	448,558
C₂₈⋊C₈.₁₉C₂ = C₂₈⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.19C2	448,565
C₂₈⋊C₈.₂₀C₂ = Dic₁₄.₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.20C2	448,597
C₂₈⋊C₈.₂₁C₂ = C₂₈⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.21C2	448,624
C₂₈⋊C₈.₂₂C₂ = Dic₁₄⋊₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.22C2	448,625
C₂₈⋊C₈.₂₃C₂ = Dic₁₄⋊₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊C₈	448	C28:C8.23C2	448,628
C₂₈⋊C₈.₂₄C₂ = C₈×Dic₁₄	φ: trivial image	448	C28:C8.24C2	448,212

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Extensions 1→N→G→Q→1 with N=C28⋊C8 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂₈⋊C₈ and Q=C₂