Extensions 1→N→G→Q→1 with N=C₂×Q₈×D₇ and Q=C₂

Direct product G=N×Q with N=C₂×Q₈×D₇ and Q=C₂

		d	ρ	Label	ID
C₂²×Q₈×D₇		224		C2^2xQ8xD7	448,1372

Semidirect products G=N:Q with N=C₂×Q₈×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈×D₇)⋊₁C₂ = Q₈⋊₂D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):1C2	448,340
(C₂×Q₈×D₇)⋊₂C₂ = Dic₁₄⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):2C2	448,704
(C₂×Q₈×D₇)⋊₃C₂ = Q₈×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):3C2	448,1028
(C₂×Q₈×D₇)⋊₄C₂ = Q₈⋊₅D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):4C2	448,1029
(C₂×Q₈×D₇)⋊₅C₂ = D₇×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	112		(C2xQ8xD7):5C2	448,1079
(C₂×Q₈×D₇)⋊₆C₂ = C₁₄.₁₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):6C2	448,1081
(C₂×Q₈×D₇)⋊₇C₂ = Dic₁₄⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):7C2	448,1085
(C₂×Q₈×D₇)⋊₈C₂ = Dic₁₄⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):8C2	448,1086
(C₂×Q₈×D₇)⋊₉C₂ = D₇×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	112		(C2xQ8xD7):9C2	448,1126
(C₂×Q₈×D₇)⋊₁₀C₂ = C₄².₁₄₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):10C2	448,1128
(C₂×Q₈×D₇)⋊₁₁C₂ = Dic₁₄⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):11C2	448,1130
(C₂×Q₈×D₇)⋊₁₂C₂ = C₄².₁₇₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):12C2	448,1177
(C₂×Q₈×D₇)⋊₁₃C₂ = D₂₈⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):13C2	448,1180
(C₂×Q₈×D₇)⋊₁₄C₂ = C₂×D₇×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	112		(C2xQ8xD7):14C2	448,1211
(C₂×Q₈×D₇)⋊₁₅C₂ = C₂×SD₁₆⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):15C2	448,1213
(C₂×Q₈×D₇)⋊₁₆C₂ = C₂×Q₁₆⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):16C2	448,1217
(C₂×Q₈×D₇)⋊₁₇C₂ = D₇×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	112	8-	(C2xQ8xD7):17C2	448,1229
(C₂×Q₈×D₇)⋊₁₈C₂ = Q₈×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):18C2	448,1268
(C₂×Q₈×D₇)⋊₁₉C₂ = C₁₄.₁₀₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):19C2	448,1284
(C₂×Q₈×D₇)⋊₂₀C₂ = C₂×Q₈.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):20C2	448,1374
(C₂×Q₈×D₇)⋊₂₁C₂ = C₂×D₄.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7):21C2	448,1377
(C₂×Q₈×D₇)⋊₂₂C₂ = D₇×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	112	8-	(C2xQ8xD7):22C2	448,1381
(C₂×Q₈×D₇)⋊₂₃C₂ = C₂×D₇×C₄○D₄	φ: trivial image	112		(C2xQ8xD7):23C2	448,1375

Non-split extensions G=N.Q with N=C₂×Q₈×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈×D₇).₁C₂ = D₇×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	112	8-	(C2xQ8xD7).1C2	448,284
(C₂×Q₈×D₇).₂C₂ = D₇×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7).2C2	448,335
(C₂×Q₈×D₇).₃C₂ = (Q₈×D₇)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7).3C2	448,336
(C₂×Q₈×D₇).₄C₂ = D₁₄⋊₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7).4C2	448,342
(C₂×Q₈×D₇).₅C₂ = D₁₄⋊₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7).5C2	448,720
(C₂×Q₈×D₇).₆C₂ = C₄².₁₂₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7).6C2	448,1025
(C₂×Q₈×D₇).₇C₂ = D₇×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7).7C2	448,1176
(C₂×Q₈×D₇).₈C₂ = C₂×D₇×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₇	224		(C2xQ8xD7).8C2	448,1216
(C₂×Q₈×D₇).₉C₂ = C₄×Q₈×D₇	φ: trivial image	224		(C2xQ8xD7).9C2	448,1024

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Extensions 1→N→G→Q→1 with N=C2×Q8×D7 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂×Q₈×D₇ and Q=C₂