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		224		C14xC4^2:C2	448,1297

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×C₂³.C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	112	4	C4^2:C2:1C14	448,818
C₄²⋊C₂⋊₂C₁₄ = C₇×C₂³.₂₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:2C14	448,824
C₄²⋊C₂⋊₃C₁₄ = C₇×C₂³.₃₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	112		C4^2:C2:3C14	448,826
C₄²⋊C₂⋊₄C₁₄ = C₇×C₄²⋊C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	112	4	C4^2:C2:4C14	448,829
C₄²⋊C₂⋊₅C₁₄ = C₇×C₂³.₁₉D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:5C14	448,890
C₄²⋊C₂⋊₆C₁₄ = C₇×C₂².₁₁C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	112		C4^2:C2:6C14	448,1301
C₄²⋊C₂⋊₇C₁₄ = C₇×C₂³.₃₃C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:7C14	448,1303
C₄²⋊C₂⋊₈C₁₄ = C₇×C₂².₁₉C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	112		C4^2:C2:8C14	448,1308
C₄²⋊C₂⋊₉C₁₄ = C₇×C₂³.₃₆C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:9C14	448,1312
C₄²⋊C₂⋊₁₀C₁₄ = C₇×C₂².₂₉C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	112		C4^2:C2:10C14	448,1318
C₄²⋊C₂⋊₁₁C₁₄ = C₇×C₂³.₃₈C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:11C14	448,1319
C₄²⋊C₂⋊₁₂C₁₄ = C₇×C₂².₃₄C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:12C14	448,1323
C₄²⋊C₂⋊₁₃C₁₄ = C₇×C₂².₃₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:13C14	448,1325
C₄²⋊C₂⋊₁₄C₁₄ = C₇×C₂².₄₅C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	112		C4^2:C2:14C14	448,1334
C₄²⋊C₂⋊₁₅C₁₄ = C₇×C₂².₄₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:15C14	448,1335
C₄²⋊C₂⋊₁₆C₁₄ = C₇×C₂².₄₇C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:16C14	448,1336
C₄²⋊C₂⋊₁₇C₁₄ = C₇×C₂².₄₉C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:17C14	448,1338
C₄²⋊C₂⋊₁₈C₁₄ = C₇×C₂².₅₀C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:18C14	448,1339
C₄²⋊C₂⋊₁₉C₁₄ = C₄○D₄×C₂₈	φ: trivial image	224		C4^2:C2:19C14	448,1300

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×C₄.₉C₄²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	112	4	C4^2:C2.1C14	448,141
C₄²⋊C₂.₂C₁₄ = C₇×C₄²⋊₆C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	112		C4^2:C2.2C14	448,143
C₄²⋊C₂.₃C₁₄ = C₇×M₄(2)⋊₄C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	112	4	C4^2:C2.3C14	448,148
C₄²⋊C₂.₄C₁₄ = C₇×C₂³.₃₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.4C14	448,827
C₄²⋊C₂.₅C₁₄ = C₇×C₄².₆C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.5C14	448,832
C₄²⋊C₂.₆C₁₄ = C₇×C₂³.₂₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.6C14	448,835
C₄²⋊C₂.₇C₁₄ = C₇×M₄(2)⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.7C14	448,836
C₄²⋊C₂.₈C₁₄ = C₇×C₄².₇C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.8C14	448,841
C₄²⋊C₂.₉C₁₄ = C₇×C₂³.₂₀D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.9C14	448,893
C₄²⋊C₂.₁₀C₁₄ = C₇×C₂³.₃₂C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.10C14	448,1302
C₄²⋊C₂.₁₁C₁₄ = C₇×C₂³.₃₇C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.11C14	448,1316
C₄²⋊C₂.₁₂C₁₄ = C₇×C₂².₃₅C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.12C14	448,1324
C₄²⋊C₂.₁₃C₁₄ = C₇×C₂³.₄₁C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.13C14	448,1327
C₄²⋊C₂.₁₄C₁₄ = C₇×C₈○₂M₄(2)	φ: trivial image	224		C4^2:C2.14C14	448,813

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