Extensions 1→N→G→Q→1 with N=C₂²⋊C₈ and Q=C₁₄

Direct product G=N×Q with N=C₂²⋊C₈ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×C₂²⋊C₈		224		C14xC2^2:C8	448,814

Semidirect products G=N:Q with N=C₂²⋊C₈ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₈⋊₁C₁₄ = C₇×C₂³⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	112		C2^2:C8:1C14	448,127
C₂²⋊C₈⋊₂C₁₄ = C₇×C₂².SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	112		C2^2:C8:2C14	448,131
C₂²⋊C₈⋊₃C₁₄ = C₇×C₂²⋊D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	112		C2^2:C8:3C14	448,855
C₂²⋊C₈⋊₄C₁₄ = C₇×C₂².D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:4C14	448,888
C₂²⋊C₈⋊₅C₁₄ = C₇×D₄⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:5C14	448,857
C₂²⋊C₈⋊₆C₁₄ = C₇×D₄.₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:6C14	448,860
C₂²⋊C₈⋊₇C₁₄ = C₇×C₂³.₁₉D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:7C14	448,890
C₂²⋊C₈⋊₈C₁₄ = C₇×Q₈⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:8C14	448,856
C₂²⋊C₈⋊₉C₁₄ = C₇×C₂²⋊SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	112		C2^2:C8:9C14	448,858
C₂²⋊C₈⋊₁₀C₁₄ = C₇×C₂³.₄₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:10C14	448,889
C₂²⋊C₈⋊₁₁C₁₄ = C₇×C₂⁴.₄C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	112		C2^2:C8:11C14	448,815
C₂²⋊C₈⋊₁₂C₁₄ = C₇×(C₂²×C₈)⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:12C14	448,816
C₂²⋊C₈⋊₁₃C₁₄ = C₇×C₈⋊₉D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:13C14	448,843
C₂²⋊C₈⋊₁₄C₁₄ = C₇×C₈⋊₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:14C14	448,844
C₂²⋊C₈⋊₁₅C₁₄ = D₄×C₅₆	φ: trivial image	224		C2^2:C8:15C14	448,842

Non-split extensions G=N.Q with N=C₂²⋊C₈ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₈.₁C₁₄ = C₇×C₂².M₄(2)	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8.1C14	448,128
C₂²⋊C₈.₂C₁₄ = C₇×C₂³.₃₁D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	112		C2^2:C8.2C14	448,132
C₂²⋊C₈.₃C₁₄ = C₇×C₂²⋊Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8.3C14	448,859
C₂²⋊C₈.₄C₁₄ = C₇×C₂³.₄₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8.4C14	448,892
C₂²⋊C₈.₅C₁₄ = C₇×C₂³.₂₀D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8.5C14	448,893
C₂²⋊C₈.₆C₁₄ = C₇×C₂³.₄₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8.6C14	448,891
C₂²⋊C₈.₇C₁₄ = C₇×C₄².₆C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8.7C14	448,840
C₂²⋊C₈.₈C₁₄ = C₇×C₄².₇C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8.8C14	448,841
C₂²⋊C₈.₉C₁₄ = C₇×C₄².₁₂C₄	φ: trivial image	224		C2^2:C8.9C14	448,839

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