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

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

		d	ρ	Label	ID
C₁₄×C₈⋊C₄		448		C14xC8:C4	448,811

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₄⋊₁C₁₄ = C₇×SD₁₆⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:1C14	448,848
C₈⋊C₄⋊₂C₁₄ = C₇×D₈⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:2C14	448,850
C₈⋊C₄⋊₃C₁₄ = C₇×C₈.₂₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	112	4	C8:C4:3C14	448,852
C₈⋊C₄⋊₄C₁₄ = C₇×C₈⋊₃D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:4C14	448,904
C₈⋊C₄⋊₅C₁₄ = C₇×C₈.₂D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:5C14	448,905
C₈⋊C₄⋊₆C₁₄ = C₇×C₄².C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:6C14	448,133
C₈⋊C₄⋊₇C₁₄ = C₇×C₄².₆C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:7C14	448,840
C₈⋊C₄⋊₈C₁₄ = C₇×C₄².₇C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:8C14	448,841
C₈⋊C₄⋊₉C₁₄ = C₇×C₈⋊₉D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:9C14	448,843
C₈⋊C₄⋊₁₀C₁₄ = C₇×C₄².₂₈C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:10C14	448,897
C₈⋊C₄⋊₁₁C₁₄ = C₇×C₄².₂₉C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:11C14	448,898
C₈⋊C₄⋊₁₂C₁₄ = M₄(2)×C₂₈	φ: trivial image	224		C8:C4:12C14	448,812
C₈⋊C₄⋊₁₃C₁₄ = C₇×C₈○₂M₄(2)	φ: trivial image	224		C8:C4:13C14	448,813

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₄.₁C₁₄ = C₇×Q₁₆⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	448		C8:C4.1C14	448,849
C₈⋊C₄.₂C₁₄ = C₇×C₈⋊Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	448		C8:C4.2C14	448,909
C₈⋊C₄.₃C₁₄ = C₇×C₄².₂C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	448		C8:C4.3C14	448,134
C₈⋊C₄.₄C₁₄ = C₇×C₁₆⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	112	4	C8:C4.4C14	448,151
C₈⋊C₄.₅C₁₄ = C₇×C₈⋊₄Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	448		C8:C4.5C14	448,854
C₈⋊C₄.₆C₁₄ = C₇×C₄².₃₀C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₄	448		C8:C4.6C14	448,899

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