Extensions 1→N→G→Q→1 with N=D₁₄⋊C₄ and Q=C₄

Direct product G=N×Q with N=D₁₄⋊C₄ and Q=C₄

		d	ρ	Label	ID
C₄×D₁₄⋊C₄		224		C4xD14:C4	448,472

Semidirect products G=N:Q with N=D₁₄⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	Label	ID
D₁₄⋊C₄⋊₁C₄ = (C₂×C₄²)⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4:1C4	448,474
D₁₄⋊C₄⋊₂C₄ = D₁₄⋊C₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4:2C4	448,202
D₁₄⋊C₄⋊₃C₄ = C₂.(C₄×D₂₈)	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4:3C4	448,204
D₁₄⋊C₄⋊₄C₄ = D₁₄⋊C₄²	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4:4C4	448,200
D₁₄⋊C₄⋊₅C₄ = D₁₄⋊C₄⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4:5C4	448,203
D₁₄⋊C₄⋊₆C₄ = D₁₄⋊C₄⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4:6C4	448,523
D₁₄⋊C₄⋊₇C₄ = D₁₄⋊C₄⋊₇C₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4:7C4	448,524

Non-split extensions G=N.Q with N=D₁₄⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	Label	ID
D₁₄⋊C₄.₁C₄ = C₈⋊₆D₂₈	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.1C4	448,222
D₁₄⋊C₄.₂C₄ = C₄².₂₄₃D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.2C4	448,224
D₁₄⋊C₄.₃C₄ = C₅₆⋊₃₂D₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.3C4	448,645
D₁₄⋊C₄.₄C₄ = C₈⋊₉D₂₈	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.4C4	448,240
D₁₄⋊C₄.₅C₄ = D₁₄⋊₂M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.5C4	448,262
D₁₄⋊C₄.₆C₄ = Dic₇⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.6C4	448,263
D₁₄⋊C₄.₇C₄ = D₁₄.₄C₄²	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.7C4	448,242
D₁₄⋊C₄.₈C₄ = C₄².₁₈₅D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.8C4	448,243
D₁₄⋊C₄.₉C₄ = C₇⋊D₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.9C4	448,259
D₁₄⋊C₄.₁₀C₄ = C₇⋊C₈⋊₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.10C4	448,264
D₁₄⋊C₄.₁₁C₄ = D₂₈⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.11C4	448,368
D₁₄⋊C₄.₁₂C₄ = C₂₈⋊₂M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.12C4	448,372
D₁₄⋊C₄.₁₃C₄ = D₁₄⋊₃M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.13C4	448,370
D₁₄⋊C₄.₁₄C₄ = C₄².₃₀D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.14C4	448,373
D₁₄⋊C₄.₁₅C₄ = C₄².₃₁D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.15C4	448,374
D₁₄⋊C₄.₁₆C₄ = C₅₆⋊D₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.16C4	448,661
D₁₄⋊C₄.₁₇C₄ = C₅₆⋊₁₈D₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₄⋊C₄	224	D14:C4.17C4	448,662
D₁₄⋊C₄.₁₈C₄ = C₈×D₂₈	φ: trivial image	224	D14:C4.18C4	448,220
D₁₄⋊C₄.₁₉C₄ = D₁₄.C₄²	φ: trivial image	224	D14:C4.19C4	448,223
D₁₄⋊C₄.₂₀C₄ = C₈×C₇⋊D₄	φ: trivial image	224	D14:C4.20C4	448,643

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Extensions 1→N→G→Q→1 with N=D14⋊C4 and Q=C4

Extensions 1→N→G→Q→1 with N=D₁₄⋊C₄ and Q=C₄