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

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

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

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

extension	φ:Q→Out N	d	Label	ID
(Q₈×Dic₇)⋊₁C₂ = Dic₇⋊₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):1C2	448,322
(Q₈×Dic₇)⋊₂C₂ = Q₈⋊D₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):2C2	448,351
(Q₈×Dic₇)⋊₃C₂ = SD₁₆×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):3C2	448,695
(Q₈×Dic₇)⋊₄C₂ = Dic₇⋊₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):4C2	448,697
(Q₈×Dic₇)⋊₅C₂ = SD₁₆⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):5C2	448,698
(Q₈×Dic₇)⋊₆C₂ = (C₇×Q₈).D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):6C2	448,700
(Q₈×Dic₇)⋊₇C₂ = (C₂×Q₁₆)⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):7C2	448,719
(Q₈×Dic₇)⋊₈C₂ = C₄².₁₂₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):8C2	448,1025
(Q₈×Dic₇)⋊₉C₂ = C₄².₁₂₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):9C2	448,1027
(Q₈×Dic₇)⋊₁₀C₂ = (Q₈×Dic₇)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):10C2	448,1075
(Q₈×Dic₇)⋊₁₁C₂ = C₂²⋊Q₈⋊₂₅D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):11C2	448,1077
(Q₈×Dic₇)⋊₁₂C₂ = C₁₄.₁₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):12C2	448,1078
(Q₈×Dic₇)⋊₁₃C₂ = C₁₄.₁₁₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):13C2	448,1088
(Q₈×Dic₇)⋊₁₄C₂ = C₁₄.₂₁2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):14C2	448,1092
(Q₈×Dic₇)⋊₁₅C₂ = C₁₄.₂₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):15C2	448,1094
(Q₈×Dic₇)⋊₁₆C₂ = C₁₄.₇₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):16C2	448,1095
(Q₈×Dic₇)⋊₁₇C₂ = C₁₄.₂₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):17C2	448,1096
(Q₈×Dic₇)⋊₁₈C₂ = C₄².₁₃₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):18C2	448,1124
(Q₈×Dic₇)⋊₁₉C₂ = C₄².₂₃₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):19C2	448,1133
(Q₈×Dic₇)⋊₂₀C₂ = C₄².₁₄₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):20C2	448,1134
(Q₈×Dic₇)⋊₂₁C₂ = C₄².₁₄₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):21C2	448,1135
(Q₈×Dic₇)⋊₂₂C₂ = C₄².₂₄₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):22C2	448,1181
(Q₈×Dic₇)⋊₂₃C₂ = C₄².₁₇₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):23C2	448,1184
(Q₈×Dic₇)⋊₂₄C₂ = C₄².₁₇₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):24C2	448,1185
(Q₈×Dic₇)⋊₂₅C₂ = C₁₄.₄₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):25C2	448,1265
(Q₈×Dic₇)⋊₂₆C₂ = Q₈×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):26C2	448,1268
(Q₈×Dic₇)⋊₂₇C₂ = C₁₄.₄₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):27C2	448,1270
(Q₈×Dic₇)⋊₂₈C₂ = C₁₄.₁₀₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):28C2	448,1280
(Q₈×Dic₇)⋊₂₉C₂ = C₁₄.₁₀₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):29C2	448,1284
(Q₈×Dic₇)⋊₃₀C₂ = C₁₄.₁₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	224	(Q8xDic7):30C2	448,1287
(Q₈×Dic₇)⋊₃₁C₂ = C₄×Q₈×D₇	φ: trivial image	224	(Q8xDic7):31C2	448,1024
(Q₈×Dic₇)⋊₃₂C₂ = C₄×Q₈⋊₂D₇	φ: trivial image	224	(Q8xDic7):32C2	448,1026
(Q₈×Dic₇)⋊₃₃C₂ = C₄○D₄×Dic₇	φ: trivial image	224	(Q8xDic7):33C2	448,1279

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

extension	φ:Q→Out N	d	Label	ID
(Q₈×Dic₇).₁C₂ = C₇⋊Q₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	448	(Q8xDic7).1C2	448,323
(Q₈×Dic₇).₂C₂ = Dic₇⋊₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	448	(Q8xDic7).2C2	448,324
(Q₈×Dic₇).₃C₂ = Q₈⋊Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	448	(Q8xDic7).3C2	448,325
(Q₈×Dic₇).₄C₂ = Dic₇.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	448	(Q8xDic7).4C2	448,328
(Q₈×Dic₇).₅C₂ = Q₈.Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	448	(Q8xDic7).5C2	448,330
(Q₈×Dic₇).₆C₂ = Q₈.₂Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	448	(Q8xDic7).6C2	448,333
(Q₈×Dic₇).₇C₂ = Dic₇⋊₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	448	(Q8xDic7).7C2	448,716
(Q₈×Dic₇).₈C₂ = Q₁₆×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	448	(Q8xDic7).8C2	448,717
(Q₈×Dic₇).₉C₂ = Q₁₆⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	448	(Q8xDic7).9C2	448,718
(Q₈×Dic₇).₁₀C₂ = Q₈×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	448	(Q8xDic7).10C2	448,1019
(Q₈×Dic₇).₁₁C₂ = Q₈⋊₅Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	448	(Q8xDic7).11C2	448,1022
(Q₈×Dic₇).₁₂C₂ = Q₈⋊₆Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	448	(Q8xDic7).12C2	448,1023
(Q₈×Dic₇).₁₃C₂ = Dic₁₄⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₇	448	(Q8xDic7).13C2	448,1174

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

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