Extensions 1→N→G→Q→1 with N=C₄²⋊₂C₂ and Q=C₁₄

Direct product G=N×Q with N=C₄²⋊₂C₂ and Q=C₁₄

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

Semidirect products G=N:Q with N=C₄²⋊₂C₂ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₂C₂⋊₁C₁₄ = C₇×C₂².₃₂C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	112		C4^2:2C2:1C14	448,1321
C₄²⋊₂C₂⋊₂C₁₄ = C₇×C₂².₃₃C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	224		C4^2:2C2:2C14	448,1322
C₄²⋊₂C₂⋊₃C₁₄ = C₇×C₂².₃₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	224		C4^2:2C2:3C14	448,1325
C₄²⋊₂C₂⋊₄C₁₄ = C₇×C₂².₄₅C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	112		C4^2:2C2:4C14	448,1334
C₄²⋊₂C₂⋊₅C₁₄ = C₇×C₂².₄₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	224		C4^2:2C2:5C14	448,1335
C₄²⋊₂C₂⋊₆C₁₄ = C₇×C₂².₄₇C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	224		C4^2:2C2:6C14	448,1336
C₄²⋊₂C₂⋊₇C₁₄ = C₇×C₂².₅₀C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	224		C4^2:2C2:7C14	448,1339
C₄²⋊₂C₂⋊₈C₁₄ = C₇×C₂².₅₄C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	112		C4^2:2C2:8C14	448,1343
C₄²⋊₂C₂⋊₉C₁₄ = C₇×C₂².₅₇C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	224		C4^2:2C2:9C14	448,1346
C₄²⋊₂C₂⋊₁₀C₁₄ = C₇×C₂³.₃₆C₂³	φ: trivial image	224		C4^2:2C2:10C14	448,1312

Non-split extensions G=N.Q with N=C₄²⋊₂C₂ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₂C₂.C₁₄ = C₇×C₂².₃₅C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊₂C₂	224		C4^2:2C2.C14	448,1324

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