Extensions 1→N→G→Q→1 with N=C₄⋊D₄ and Q=C₁₄

Direct product G=N×Q with N=C₄⋊D₄ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×C₄⋊D₄		224		C14xC4:D4	448,1305

Semidirect products G=N:Q with N=C₄⋊D₄ and Q=C₁₄

extension	φ:Q→Out N	d	Label	ID
C₄⋊D₄⋊₁C₁₄ = C₇×C₂²⋊D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:1C14	448,855
C₄⋊D₄⋊₂C₁₄ = C₇×D₄⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:2C14	448,857
C₄⋊D₄⋊₃C₁₄ = C₇×C₈⋊₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:3C14	448,874
C₄⋊D₄⋊₄C₁₄ = C₇×C₈⋊₂D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:4C14	448,877
C₄⋊D₄⋊₅C₁₄ = C₇×C₂³⋊₃D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:5C14	448,1317
C₄⋊D₄⋊₆C₁₄ = C₇×C₂².₂₉C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:6C14	448,1318
C₄⋊D₄⋊₇C₁₄ = C₇×C₂².₃₁C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:7C14	448,1320
C₄⋊D₄⋊₈C₁₄ = C₇×C₂².₃₂C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:8C14	448,1321
C₄⋊D₄⋊₉C₁₄ = C₇×C₂².₃₄C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:9C14	448,1323
C₄⋊D₄⋊₁₀C₁₄ = C₇×D₄²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:10C14	448,1328
C₄⋊D₄⋊₁₁C₁₄ = C₇×D₄⋊₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:11C14	448,1329
C₄⋊D₄⋊₁₂C₁₄ = C₇×D₄⋊₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:12C14	448,1330
C₄⋊D₄⋊₁₃C₁₄ = C₇×Q₈⋊₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:13C14	448,1331
C₄⋊D₄⋊₁₄C₁₄ = C₇×Q₈⋊₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:14C14	448,1333
C₄⋊D₄⋊₁₅C₁₄ = C₇×C₂².₄₇C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:15C14	448,1336
C₄⋊D₄⋊₁₆C₁₄ = C₇×C₂².₄₉C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:16C14	448,1338
C₄⋊D₄⋊₁₇C₁₄ = C₇×C₂².₅₄C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4:17C14	448,1343
C₄⋊D₄⋊₁₈C₁₄ = C₇×C₂².₅₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4:18C14	448,1345
C₄⋊D₄⋊₁₉C₁₄ = C₇×C₂².₁₉C₂⁴	φ: trivial image	112	C4:D4:19C14	448,1308
C₄⋊D₄⋊₂₀C₁₄ = C₇×C₂².₂₆C₂⁴	φ: trivial image	224	C4:D4:20C14	448,1315

Non-split extensions G=N.Q with N=C₄⋊D₄ and Q=C₁₄

extension	φ:Q→Out N	d	Label	ID
C₄⋊D₄.₁C₁₄ = C₇×C₂².SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	112	C4:D4.1C14	448,131
C₄⋊D₄.₂C₁₄ = C₇×Q₈⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.2C14	448,856
C₄⋊D₄.₃C₁₄ = C₇×C₈⋊₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.3C14	448,873
C₄⋊D₄.₄C₁₄ = C₇×C₈⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.4C14	448,876
C₄⋊D₄.₅C₁₄ = C₇×C₂².D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.5C14	448,888
C₄⋊D₄.₆C₁₄ = C₇×C₂³.₄₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.6C14	448,889
C₄⋊D₄.₇C₁₄ = C₇×C₂³.₁₉D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.7C14	448,890
C₄⋊D₄.₈C₁₄ = C₇×C₂².₃₃C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.8C14	448,1322
C₄⋊D₄.₉C₁₄ = C₇×C₂².₃₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊D₄	224	C4:D4.9C14	448,1325
C₄⋊D₄.₁₀C₁₄ = C₇×C₂³.₃₆C₂³	φ: trivial image	224	C4:D4.10C14	448,1312

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Extensions 1→N→G→Q→1 with N=C4⋊D4 and Q=C14

Extensions 1→N→G→Q→1 with N=C₄⋊D₄ and Q=C₁₄