Extensions 1→N→G→Q→1 with N=C₄⋊C₈ and Q=C₁₄

Direct product G=N×Q with N=C₄⋊C₈ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×C₄⋊C₈		448		C14xC4:C8	448,830

Semidirect products G=N:Q with N=C₄⋊C₈ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₈⋊₁C₁₄ = C₇×D₄⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:1C14	448,129
C₄⋊C₈⋊₂C₁₄ = C₇×C₄.D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:2C14	448,135
C₄⋊C₈⋊₃C₁₄ = C₇×C₄⋊D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:3C14	448,867
C₄⋊C₈⋊₄C₁₄ = C₇×D₄⋊Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:4C14	448,882
C₄⋊C₈⋊₅C₁₄ = C₇×D₄.₂D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:5C14	448,871
C₄⋊C₈⋊₆C₁₄ = C₇×Q₈.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:6C14	448,872
C₄⋊C₈⋊₇C₁₄ = C₇×D₄.Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:7C14	448,886
C₄⋊C₈⋊₈C₁₄ = C₇×C₄⋊SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:8C14	448,868
C₄⋊C₈⋊₉C₁₄ = C₇×D₄.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:9C14	448,869
C₄⋊C₈⋊₁₀C₁₄ = C₇×D₄⋊₂Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:10C14	448,884
C₄⋊C₈⋊₁₁C₁₄ = C₇×C₄⋊M₄(2)	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:11C14	448,831
C₄⋊C₈⋊₁₂C₁₄ = C₇×C₄².₆C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:12C14	448,832
C₄⋊C₈⋊₁₃C₁₄ = C₇×C₄².₆C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:13C14	448,840
C₄⋊C₈⋊₁₄C₁₄ = C₇×C₄².₇C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:14C14	448,841
C₄⋊C₈⋊₁₅C₁₄ = C₇×C₈⋊₉D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:15C14	448,843
C₄⋊C₈⋊₁₆C₁₄ = C₇×C₈⋊₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:16C14	448,844
C₄⋊C₈⋊₁₇C₁₄ = C₇×C₄².₁₂C₄	φ: trivial image	224		C4:C8:17C14	448,839
C₄⋊C₈⋊₁₈C₁₄ = D₄×C₅₆	φ: trivial image	224		C4:C8:18C14	448,842

Non-split extensions G=N.Q with N=C₄⋊C₈ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₈.₁C₁₄ = C₇×Q₈⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.1C14	448,130
C₄⋊C₈.₂C₁₄ = C₇×C₄.₁₀D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.2C14	448,136
C₄⋊C₈.₃C₁₄ = C₇×C₄.₆Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.3C14	448,137
C₄⋊C₈.₄C₁₄ = C₇×C₈⋊₂C₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.4C14	448,138
C₄⋊C₈.₅C₁₄ = C₇×C₈⋊₁C₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.5C14	448,139
C₄⋊C₈.₆C₁₄ = C₇×C₄⋊₂Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.6C14	448,870
C₄⋊C₈.₇C₁₄ = C₇×C₄.Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.7C14	448,885
C₄⋊C₈.₈C₁₄ = C₇×Q₈.Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.8C14	448,887
C₄⋊C₈.₉C₁₄ = C₇×Q₈⋊Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.9C14	448,883
C₄⋊C₈.₁₀C₁₄ = C₇×C₈⋊₄Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.10C14	448,854
C₄⋊C₈.₁₁C₁₄ = Q₈×C₅₆	φ: trivial image	448		C4:C8.11C14	448,853

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