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

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

		d	ρ	Label	ID
C₂×Q₈×Dic₇		448		C2xQ8xDic7	448,1264

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

extension	φ:Q→Out N	d	Label	ID
(C₂×Dic₇)⋊₁Q₈ = (C₂×Dic₇)⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₂×Dic₇	448	(C2xDic7):1Q8	448,190
(C₂×Dic₇)⋊₂Q₈ = (C₂×C₄)⋊Dic₁₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×Dic₇	448	(C2xDic7):2Q8	448,513
(C₂×Dic₇)⋊₃Q₈ = C₁₄.C₂²≀C₂	φ: Q₈/C₂ → C₂² ⊆ Out C₂×Dic₇	448	(C2xDic7):3Q8	448,763
(C₂×Dic₇)⋊₄Q₈ = C₁₄.₇₅2_-¹⁺⁴	φ: Q₈/C₂ → C₂² ⊆ Out C₂×Dic₇	224	(C2xDic7):4Q8	448,1076
(C₂×Dic₇)⋊₅Q₈ = (C₂×C₂₈)⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448	(C2xDic7):5Q8	448,180
(C₂×Dic₇)⋊₆Q₈ = (C₂×Dic₇)⋊₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448	(C2xDic7):6Q8	448,508
(C₂×Dic₇)⋊₇Q₈ = (Q₈×C₁₄)⋊₇C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448	(C2xDic7):7Q8	448,764
(C₂×Dic₇)⋊₈Q₈ = C₂×C₂₈⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448	(C2xDic7):8Q8	448,950
(C₂×Dic₇)⋊₉Q₈ = (Q₈×Dic₇)⋊C₂	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	224	(C2xDic7):9Q8	448,1075
(C₂×Dic₇)⋊₁₀Q₈ = C₂×Dic₇⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448	(C2xDic7):10Q8	448,1263
(C₂×Dic₇)⋊₁₁Q₈ = C₂×Dic₇⋊₃Q₈	φ: trivial image	448	(C2xDic7):11Q8	448,949

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₇).₁Q₈ = C₂.(C₂₈⋊Q₈)	φ: Q₈/C₂ → C₂² ⊆ Out C₂×Dic₇	448		(C2xDic7).1Q8	448,191
(C₂×Dic₇).₂Q₈ = (C₂×Dic₇).Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₂×Dic₇	448		(C2xDic7).2Q8	448,192
(C₂×Dic₇).₃Q₈ = (C₂×C₂₈).₂₈D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×Dic₇	448		(C2xDic7).3Q8	448,193
(C₂×Dic₇).₄Q₈ = M₄(2).₂₅D₁₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×Dic₇	112	4	(C2xDic7).4Q8	448,427
(C₂×Dic₇).₅Q₈ = (C₂×C₂₈).₂₈₇D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×Dic₇	448		(C2xDic7).5Q8	448,514
(C₂×Dic₇).₆Q₈ = (C₂×C₂₈).₂₈₈D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×Dic₇	448		(C2xDic7).6Q8	448,516
(C₂×Dic₇).₇Q₈ = (C₂×C₄).₄₄D₂₈	φ: Q₈/C₂ → C₂² ⊆ Out C₂×Dic₇	448		(C2xDic7).7Q8	448,517
(C₂×Dic₇).₈Q₈ = (C₂×C₂₈).₅₄D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×Dic₇	448		(C2xDic7).8Q8	448,518
(C₂×Dic₇).₉Q₈ = C₁₄.(C₄×Q₈)	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448		(C2xDic7).9Q8	448,181
(C₂×Dic₇).₁₀Q₈ = C₇⋊(C₄²⋊₈C₄)	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448		(C2xDic7).10Q8	448,184
(C₂×Dic₇).₁₁Q₈ = Dic₇⋊C₄⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448		(C2xDic7).11Q8	448,186
(C₂×Dic₇).₁₂Q₈ = C₄⋊Dic₇⋊₇C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448		(C2xDic7).12Q8	448,187
(C₂×Dic₇).₁₃Q₈ = D₇×C₈.C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	112	4	(C2xDic7).13Q8	448,426
(C₂×Dic₇).₁₄Q₈ = Dic₇⋊(C₄⋊C₄)	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448		(C2xDic7).14Q8	448,506
(C₂×Dic₇).₁₅Q₈ = C₂₈⋊(C₄⋊C₄)	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448		(C2xDic7).15Q8	448,507
(C₂×Dic₇).₁₆Q₈ = (C₄×Dic₇)⋊₈C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448		(C2xDic7).16Q8	448,510
(C₂×Dic₇).₁₇Q₈ = C₂².₂₃(Q₈×D₇)	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448		(C2xDic7).17Q8	448,512
(C₂×Dic₇).₁₈Q₈ = C₄⋊C₄⋊₅Dic₇	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448		(C2xDic7).18Q8	448,515
(C₂×Dic₇).₁₉Q₈ = C₄⋊(C₄⋊Dic₇)	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448		(C2xDic7).19Q8	448,519
(C₂×Dic₇).₂₀Q₈ = C₂×Dic₇.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448		(C2xDic7).20Q8	448,951
(C₂×Dic₇).₂₁Q₈ = Dic₇⋊C₄²	φ: trivial image	448		(C2xDic7).21Q8	448,183
(C₂×Dic₇).₂₂Q₈ = C₄⋊C₄×Dic₇	φ: trivial image	448		(C2xDic7).22Q8	448,509

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

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