Extensions 1→N→G→Q→1 with N=C₂².D₄ and Q=C₁₄

Direct product G=N×Q with N=C₂².D₄ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×C₂².D₄		224		C14xC2^2.D4	448,1307

Semidirect products G=N:Q with N=C₂².D₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₂².D₄⋊₁C₁₄ = C₇×C₂³.₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	112	4	C2^2.D4:1C14	448,866
C₂².D₄⋊₂C₁₄ = C₇×C₂³⋊₃D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	112		C2^2.D4:2C14	448,1317
C₂².D₄⋊₃C₁₄ = C₇×C₂³.₃₈C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:3C14	448,1319
C₂².D₄⋊₄C₁₄ = C₇×C₂².₃₂C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	112		C2^2.D4:4C14	448,1321
C₂².D₄⋊₅C₁₄ = C₇×C₂².₃₃C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:5C14	448,1322
C₂².D₄⋊₆C₁₄ = C₇×C₂².₃₄C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:6C14	448,1323
C₂².D₄⋊₇C₁₄ = C₇×C₂².₃₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:7C14	448,1325
C₂².D₄⋊₈C₁₄ = C₇×D₄⋊₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	112		C2^2.D4:8C14	448,1329
C₂².D₄⋊₉C₁₄ = C₇×D₄⋊₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:9C14	448,1330
C₂².D₄⋊₁₀C₁₄ = C₇×C₂².₄₅C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	112		C2^2.D4:10C14	448,1334
C₂².D₄⋊₁₁C₁₄ = C₇×C₂².₄₇C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:11C14	448,1336
C₂².D₄⋊₁₂C₁₄ = C₇×C₂².₅₃C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:12C14	448,1342
C₂².D₄⋊₁₃C₁₄ = C₇×C₂².₅₄C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	112		C2^2.D4:13C14	448,1343
C₂².D₄⋊₁₄C₁₄ = C₇×C₂².₅₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4:14C14	448,1345
C₂².D₄⋊₁₅C₁₄ = C₇×C₂².₁₉C₂⁴	φ: trivial image	112		C2^2.D4:15C14	448,1308
C₂².D₄⋊₁₆C₁₄ = C₇×C₂³.₃₆C₂³	φ: trivial image	224		C2^2.D4:16C14	448,1312

Non-split extensions G=N.Q with N=C₂².D₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₂².D₄.₁C₁₄ = C₇×C₂³.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	112	4	C2^2.D4.1C14	448,156
C₂².D₄.₂C₁₄ = C₇×C₂².₄₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4.2C14	448,1335
C₂².D₄.₃C₁₄ = C₇×C₂².₅₇C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂².D₄	224		C2^2.D4.3C14	448,1346

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