Extensions 1→N→G→Q→1 with N=C₇×C₄²⋊₂C₂ and Q=C₂

Direct product G=N×Q with N=C₇×C₄²⋊₂C₂ and Q=C₂

		d	ρ	Label	ID
C₁₄×C₄²⋊₂C₂		224		C14xC4^2:2C2	448,1311

Semidirect products G=N:Q with N=C₇×C₄²⋊₂C₂ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₇×C₄²⋊₂C₂)⋊₁C₂ = C₄².₁₆₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	224	(C7xC4^2:2C2):1C2	448,1155
(C₇×C₄²⋊₂C₂)⋊₂C₂ = D₇×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	112	(C7xC4^2:2C2):2C2	448,1156
(C₇×C₄²⋊₂C₂)⋊₃C₂ = C₄²⋊₂₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	112	(C7xC4^2:2C2):3C2	448,1157
(C₇×C₄²⋊₂C₂)⋊₄C₂ = C₄²⋊₂₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	112	(C7xC4^2:2C2):4C2	448,1158
(C₇×C₄²⋊₂C₂)⋊₅C₂ = C₄².₁₈₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	224	(C7xC4^2:2C2):5C2	448,1159
(C₇×C₄²⋊₂C₂)⋊₆C₂ = C₄².₁₆₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	224	(C7xC4^2:2C2):6C2	448,1160
(C₇×C₄²⋊₂C₂)⋊₇C₂ = C₄².₁₆₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	224	(C7xC4^2:2C2):7C2	448,1161
(C₇×C₄²⋊₂C₂)⋊₈C₂ = C₄².₁₆₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	224	(C7xC4^2:2C2):8C2	448,1162
(C₇×C₄²⋊₂C₂)⋊₉C₂ = C₄².₁₆₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	224	(C7xC4^2:2C2):9C2	448,1163
(C₇×C₄²⋊₂C₂)⋊₁₀C₂ = C₄²⋊₂₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	112	(C7xC4^2:2C2):10C2	448,1164
(C₇×C₄²⋊₂C₂)⋊₁₁C₂ = C₄².₁₆₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	224	(C7xC4^2:2C2):11C2	448,1165
(C₇×C₄²⋊₂C₂)⋊₁₂C₂ = C₇×C₂².₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	112	(C7xC4^2:2C2):12C2	448,1321
(C₇×C₄²⋊₂C₂)⋊₁₃C₂ = C₇×C₂².₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	224	(C7xC4^2:2C2):13C2	448,1322
(C₇×C₄²⋊₂C₂)⋊₁₄C₂ = C₇×C₂².₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	224	(C7xC4^2:2C2):14C2	448,1325
(C₇×C₄²⋊₂C₂)⋊₁₅C₂ = C₇×C₂².₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	112	(C7xC4^2:2C2):15C2	448,1334
(C₇×C₄²⋊₂C₂)⋊₁₆C₂ = C₇×C₂².₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	224	(C7xC4^2:2C2):16C2	448,1335
(C₇×C₄²⋊₂C₂)⋊₁₇C₂ = C₇×C₂².₄₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	224	(C7xC4^2:2C2):17C2	448,1336
(C₇×C₄²⋊₂C₂)⋊₁₈C₂ = C₇×C₂².₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	224	(C7xC4^2:2C2):18C2	448,1339
(C₇×C₄²⋊₂C₂)⋊₁₉C₂ = C₇×C₂².₅₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	112	(C7xC4^2:2C2):19C2	448,1343
(C₇×C₄²⋊₂C₂)⋊₂₀C₂ = C₇×C₂².₅₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	224	(C7xC4^2:2C2):20C2	448,1346
(C₇×C₄²⋊₂C₂)⋊₂₁C₂ = C₇×C₂³.₃₆C₂³	φ: trivial image	224	(C7xC4^2:2C2):21C2	448,1312

Non-split extensions G=N.Q with N=C₇×C₄²⋊₂C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄²⋊₂C₂).₁C₂ = C₄².₁₅₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	224		(C7xC4^2:2C2).1C2	448,1154
(C₇×C₄²⋊₂C₂).₂C₂ = C₇×C₂².₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊₂C₂	224		(C7xC4^2:2C2).2C2	448,1324

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Extensions 1→N→G→Q→1 with N=C7×C42⋊2C2 and Q=C2

Extensions 1→N→G→Q→1 with N=C₇×C₄²⋊₂C₂ and Q=C₂