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
C₂³×C₅₆		448		C2^3xC56	448,1348

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₈)⋊₁C₁₄ = C₁₄×C₂²⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8):1C14	448,814
(C₂²×C₈)⋊₂C₁₄ = C₇×(C₂²×C₈)⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8):2C14	448,816
(C₂²×C₈)⋊₃C₁₄ = C₁₄×D₄⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8):3C14	448,822
(C₂²×C₈)⋊₄C₁₄ = C₇×C₂³.₂₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8):4C14	448,824
(C₂²×C₈)⋊₅C₁₄ = D₄×C₅₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8):5C14	448,842
(C₂²×C₈)⋊₆C₁₄ = C₇×C₈⋊₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8):6C14	448,874
(C₂²×C₈)⋊₇C₁₄ = D₈×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8):7C14	448,1352
(C₂²×C₈)⋊₈C₁₄ = C₁₄×C₄○D₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8):8C14	448,1355
(C₂²×C₈)⋊₉C₁₄ = C₇×C₈⋊₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8):9C14	448,873
(C₂²×C₈)⋊₁₀C₁₄ = SD₁₆×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8):10C14	448,1353
(C₂²×C₈)⋊₁₁C₁₄ = C₇×C₈⋊₉D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8):11C14	448,843
(C₂²×C₈)⋊₁₂C₁₄ = M₄(2)×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8):12C14	448,1349
(C₂²×C₈)⋊₁₃C₁₄ = C₁₄×C₈○D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8):13C14	448,1350

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₈).₁C₁₄ = C₇×C₂².₇C₄²	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	448		(C2^2xC8).1C14	448,140
(C₂²×C₈).₂C₁₄ = C₇×C₂².₄Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	448		(C2^2xC8).2C14	448,144
(C₂²×C₈).₃C₁₄ = C₇×C₄.C₄²	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8).3C14	448,145
(C₂²×C₈).₄C₁₄ = C₇×C₂²⋊C₁₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8).4C14	448,152
(C₂²×C₈).₅C₁₄ = C₁₄×Q₈⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	448		(C2^2xC8).5C14	448,823
(C₂²×C₈).₆C₁₄ = C₁₄×C₄⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	448		(C2^2xC8).6C14	448,830
(C₂²×C₈).₇C₁₄ = C₇×C₄².₆C₂²	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8).7C14	448,832
(C₂²×C₈).₈C₁₄ = C₁₄×C₂.D₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	448		(C2^2xC8).8C14	448,834
(C₂²×C₈).₉C₁₄ = C₇×C₈.₁₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8).9C14	448,875
(C₂²×C₈).₁₀C₁₄ = Q₁₆×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	448		(C2^2xC8).10C14	448,1354
(C₂²×C₈).₁₁C₁₄ = C₇×C₂³.₂₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8).11C14	448,835
(C₂²×C₈).₁₂C₁₄ = C₁₄×C₈.C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8).12C14	448,837
(C₂²×C₈).₁₃C₁₄ = C₁₄×C₄.Q₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	448		(C2^2xC8).13C14	448,833
(C₂²×C₈).₁₄C₁₄ = C₁₄×C₈⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	448		(C2^2xC8).14C14	448,811
(C₂²×C₈).₁₅C₁₄ = C₇×C₈○₂M₄(2)	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8).15C14	448,813
(C₂²×C₈).₁₆C₁₄ = C₁₄×M₅(2)	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₈	224		(C2^2xC8).16C14	448,911

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