Extensions 1→N→G→Q→1 with N=C₂²⋊Q₈ and Q=C₁₄

Direct product G=N×Q with N=C₂²⋊Q₈ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×C₂²⋊Q₈		224		C14xC2^2:Q8	448,1306

Semidirect products G=N:Q with N=C₂²⋊Q₈ and Q=C₁₄

extension	φ:Q→Out N	d	Label	ID
C₂²⋊Q₈⋊₁C₁₄ = C₇×C₂²⋊SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	112	C2^2:Q8:1C14	448,858
C₂²⋊Q₈⋊₂C₁₄ = C₇×D₄.₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:2C14	448,860
C₂²⋊Q₈⋊₃C₁₄ = C₇×C₈⋊₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:3C14	448,873
C₂²⋊Q₈⋊₄C₁₄ = C₇×C₈⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:4C14	448,876
C₂²⋊Q₈⋊₅C₁₄ = C₇×C₂³.₃₈C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:5C14	448,1319
C₂²⋊Q₈⋊₆C₁₄ = C₇×C₂².₃₁C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:6C14	448,1320
C₂²⋊Q₈⋊₇C₁₄ = C₇×C₂².₃₂C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	112	C2^2:Q8:7C14	448,1321
C₂²⋊Q₈⋊₈C₁₄ = C₇×C₂².₃₃C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:8C14	448,1322
C₂²⋊Q₈⋊₉C₁₄ = C₇×C₂².₃₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:9C14	448,1325
C₂²⋊Q₈⋊₁₀C₁₄ = C₇×C₂³⋊₂Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	112	C2^2:Q8:10C14	448,1326
C₂²⋊Q₈⋊₁₁C₁₄ = C₇×D₄⋊₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	112	C2^2:Q8:11C14	448,1329
C₂²⋊Q₈⋊₁₂C₁₄ = C₇×D₄⋊₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:12C14	448,1330
C₂²⋊Q₈⋊₁₃C₁₄ = C₇×Q₈⋊₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:13C14	448,1331
C₂²⋊Q₈⋊₁₄C₁₄ = C₇×D₄×Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:14C14	448,1332
C₂²⋊Q₈⋊₁₅C₁₄ = C₇×C₂².₄₅C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	112	C2^2:Q8:15C14	448,1334
C₂²⋊Q₈⋊₁₆C₁₄ = C₇×C₂².₄₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:16C14	448,1335
C₂²⋊Q₈⋊₁₇C₁₄ = C₇×D₄⋊₃Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:17C14	448,1337
C₂²⋊Q₈⋊₁₈C₁₄ = C₇×C₂².₅₀C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:18C14	448,1339
C₂²⋊Q₈⋊₁₉C₁₄ = C₇×C₂².₅₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:19C14	448,1345
C₂²⋊Q₈⋊₂₀C₁₄ = C₇×C₂².₅₇C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8:20C14	448,1346
C₂²⋊Q₈⋊₂₁C₁₄ = C₇×C₂².₁₉C₂⁴	φ: trivial image	112	C2^2:Q8:21C14	448,1308
C₂²⋊Q₈⋊₂₂C₁₄ = C₇×C₂³.₃₆C₂³	φ: trivial image	224	C2^2:Q8:22C14	448,1312

Non-split extensions G=N.Q with N=C₂²⋊Q₈ and Q=C₁₄

extension	φ:Q→Out N	d	Label	ID
C₂²⋊Q₈.₁C₁₄ = C₇×C₂³.₃₁D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	112	C2^2:Q8.1C14	448,132
C₂²⋊Q₈.₂C₁₄ = C₇×C₂²⋊Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.2C14	448,859
C₂²⋊Q₈.₃C₁₄ = C₇×C₈.₁₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.3C14	448,875
C₂²⋊Q₈.₄C₁₄ = C₇×C₈.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.4C14	448,878
C₂²⋊Q₈.₅C₁₄ = C₇×C₂³.₄₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.5C14	448,891
C₂²⋊Q₈.₆C₁₄ = C₇×C₂³.₄₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.6C14	448,892
C₂²⋊Q₈.₇C₁₄ = C₇×C₂³.₂₀D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.7C14	448,893
C₂²⋊Q₈.₈C₁₄ = C₇×C₂².₃₅C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.8C14	448,1324
C₂²⋊Q₈.₉C₁₄ = C₇×C₂³.₄₁C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊Q₈	224	C2^2:Q8.9C14	448,1327
C₂²⋊Q₈.₁₀C₁₄ = C₇×C₂³.₃₇C₂³	φ: trivial image	224	C2^2:Q8.10C14	448,1316

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Extensions 1→N→G→Q→1 with N=C22⋊Q8 and Q=C14

Extensions 1→N→G→Q→1 with N=C₂²⋊Q₈ and Q=C₁₄