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

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

		d	ρ	Label	ID
C₂×C₈×Dic₇		448		C2xC8xDic7	448,632

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×Dic₇)⋊₁C₂ = D₅₆⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	112	4	(C8xDic7):1C2	448,429
(C₈×Dic₇)⋊₂C₂ = D₈⋊₅Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	112	4	(C8xDic7):2C2	448,730
(C₈×Dic₇)⋊₃C₂ = Dic₇⋊₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):3C2	448,406
(C₈×Dic₇)⋊₄C₂ = D₈×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):4C2	448,683
(C₈×Dic₇)⋊₅C₂ = C₅₆⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):5C2	448,685
(C₈×Dic₇)⋊₆C₂ = C₅₆.₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):6C2	448,689
(C₈×Dic₇)⋊₇C₂ = C₅₆.₂₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):7C2	448,725
(C₈×Dic₇)⋊₈C₂ = Dic₇⋊₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):8C2	448,386
(C₈×Dic₇)⋊₉C₂ = SD₁₆×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):9C2	448,695
(C₈×Dic₇)⋊₁₀C₂ = C₅₆.₄₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):10C2	448,702
(C₈×Dic₇)⋊₁₁C₂ = C₅₆⋊₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):11C2	448,709
(C₈×Dic₇)⋊₁₂C₂ = D₁₄.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):12C2	448,223
(C₈×Dic₇)⋊₁₃C₂ = Dic₇.₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):13C2	448,252
(C₈×Dic₇)⋊₁₄C₂ = C₅₆⋊C₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):14C2	448,254
(C₈×Dic₇)⋊₁₅C₂ = C₇⋊D₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):15C2	448,259
(C₈×Dic₇)⋊₁₆C₂ = Dic₇⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):16C2	448,263
(C₈×Dic₇)⋊₁₇C₂ = Dic₇⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):17C2	448,290
(C₈×Dic₇)⋊₁₈C₂ = Dic₇⋊₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):18C2	448,292
(C₈×Dic₇)⋊₁₉C₂ = Dic₇.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):19C2	448,294
(C₈×Dic₇)⋊₂₀C₂ = (C₈×Dic₇)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):20C2	448,302
(C₈×Dic₇)⋊₂₁C₂ = Dic₇⋊₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):21C2	448,322
(C₈×Dic₇)⋊₂₂C₂ = Q₈⋊Dic₇⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):22C2	448,334
(C₈×Dic₇)⋊₂₃C₂ = C₄².₂₀₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):23C2	448,367
(C₈×Dic₇)⋊₂₄C₂ = C₄².₃₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):24C2	448,374
(C₈×Dic₇)⋊₂₅C₂ = C₂₈.₁₂C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):25C2	448,635
(C₈×Dic₇)⋊₂₆C₂ = C₈×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):26C2	448,643
(C₈×Dic₇)⋊₂₇C₂ = Dic₇.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):27C2	448,241
(C₈×Dic₇)⋊₂₈C₂ = D₁₄.₄C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):28C2	448,242
(C₈×Dic₇)⋊₂₉C₂ = M₄(2)×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):29C2	448,651
(C₈×Dic₇)⋊₃₀C₂ = C₂₈.₇C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):30C2	448,656
(C₈×Dic₇)⋊₃₁C₂ = C₅₆⋊₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	224		(C8xDic7):31C2	448,662
(C₈×Dic₇)⋊₃₂C₂ = C₅₆.₉₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	112	4	(C8xDic7):32C2	448,678
(C₈×Dic₇)⋊₃₃C₂ = D₇×C₄×C₈	φ: trivial image	224		(C8xDic7):33C2	448,218

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×Dic₇).₁C₂ = Dic₂₈⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	448		(C8xDic7).1C2	448,407
(C₈×Dic₇).₂C₂ = C₅₆⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	448		(C8xDic7).2C2	448,408
(C₈×Dic₇).₃C₂ = C₅₆.₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	448		(C8xDic7).3C2	448,412
(C₈×Dic₇).₄C₂ = C₅₆.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	448		(C8xDic7).4C2	448,715
(C₈×Dic₇).₅C₂ = Q₁₆×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	448		(C8xDic7).5C2	448,717
(C₈×Dic₇).₆C₂ = C₅₆⋊₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	448		(C8xDic7).6C2	448,389
(C₈×Dic₇).₇C₂ = C₅₆.₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	448		(C8xDic7).7C2	448,392
(C₈×Dic₇).₈C₂ = Dic₇⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	448		(C8xDic7).8C2	448,58
(C₈×Dic₇).₉C₂ = C₁₁₂⋊₉C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	448		(C8xDic7).9C2	448,59
(C₈×Dic₇).₁₀C₂ = C₈×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	448		(C8xDic7).10C2	448,212
(C₈×Dic₇).₁₁C₂ = Dic₇⋊₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	448		(C8xDic7).11C2	448,324
(C₈×Dic₇).₁₂C₂ = Dic₇.₁Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	448		(C8xDic7).12C2	448,326
(C₈×Dic₇).₁₃C₂ = C₄².₂₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	448		(C8xDic7).13C2	448,362
(C₈×Dic₇).₁₄C₂ = Dic₁₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	448		(C8xDic7).14C2	448,364
(C₈×Dic₇).₁₅C₂ = C₅₆.₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	112	4	(C8xDic7).15C2	448,68
(C₈×Dic₇).₁₆C₂ = C₅₆⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₇	448		(C8xDic7).16C2	448,235
(C₈×Dic₇).₁₇C₂ = C₁₆×Dic₇	φ: trivial image	448		(C8xDic7).17C2	448,57

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

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