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

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

		d	ρ	Label	ID
C₁₄×C₄².C₂		448		C14xC4^2.C2	448,1310

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².C₂⋊₁C₁₄ = C₇×D₄.Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	224		C4^2.C2:1C14	448,886
C₄².C₂⋊₂C₁₄ = C₇×C₄².₇₈C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	224		C4^2.C2:2C14	448,896
C₄².C₂⋊₃C₁₄ = C₇×C₄².₂₉C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	224		C4^2.C2:3C14	448,898
C₄².C₂⋊₄C₁₄ = C₇×C₂².₃₃C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	224		C4^2.C2:4C14	448,1322
C₄².C₂⋊₅C₁₄ = C₇×C₂².₃₄C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	224		C4^2.C2:5C14	448,1323
C₄².C₂⋊₆C₁₄ = C₇×C₂².₃₅C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	224		C4^2.C2:6C14	448,1324
C₄².C₂⋊₇C₁₄ = C₇×C₂³.₄₁C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	224		C4^2.C2:7C14	448,1327
C₄².C₂⋊₈C₁₄ = C₇×C₂².₄₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	224		C4^2.C2:8C14	448,1335
C₄².C₂⋊₉C₁₄ = C₇×C₂².₄₇C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	224		C4^2.C2:9C14	448,1336
C₄².C₂⋊₁₀C₁₄ = C₇×D₄⋊₃Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	224		C4^2.C2:10C14	448,1337
C₄².C₂⋊₁₁C₁₄ = C₇×C₂².₅₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	224		C4^2.C2:11C14	448,1345
C₄².C₂⋊₁₂C₁₄ = C₇×C₂².₅₇C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	224		C4^2.C2:12C14	448,1346
C₄².C₂⋊₁₃C₁₄ = C₇×C₂³.₃₆C₂³	φ: trivial image	224		C4^2.C2:13C14	448,1312
C₄².C₂⋊₁₄C₁₄ = C₇×C₂³.₃₇C₂³	φ: trivial image	224		C4^2.C2:14C14	448,1316

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².C₂.₁C₁₄ = C₇×C₄².₂C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	448		C4^2.C2.1C14	448,134
C₄².C₂.₂C₁₄ = C₇×Q₈.Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	448		C4^2.C2.2C14	448,887
C₄².C₂.₃C₁₄ = C₇×C₄².₃₀C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	448		C4^2.C2.3C14	448,899
C₄².C₂.₄C₁₄ = C₇×C₈.₅Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	448		C4^2.C2.4C14	448,907
C₄².C₂.₅C₁₄ = C₇×C₈⋊Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	448		C4^2.C2.5C14	448,909
C₄².C₂.₆C₁₄ = C₇×Q₈⋊₃Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	448		C4^2.C2.6C14	448,1340
C₄².C₂.₇C₁₄ = C₇×C₂².₅₈C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄².C₂	448		C4^2.C2.7C14	448,1347

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