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
C₂×C₄×C₅₆		448		C2xC4xC56	448,810

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₈)⋊₁C₁₄ = C₇×D₄⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):1C14	448,129
(C₄×C₈)⋊₂C₁₄ = C₇×C₄².₁₂C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):2C14	448,839
(C₄×C₈)⋊₃C₁₄ = C₇×C₄².₇C₂²	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):3C14	448,841
(C₄×C₈)⋊₄C₁₄ = D₄×C₅₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):4C14	448,842
(C₄×C₈)⋊₅C₁₄ = C₇×C₄.₄D₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):5C14	448,894
(C₄×C₈)⋊₆C₁₄ = C₇×C₄².₇₈C₂²	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):6C14	448,896
(C₄×C₈)⋊₇C₁₄ = D₈×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):7C14	448,845
(C₄×C₈)⋊₈C₁₄ = C₇×C₈⋊₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):8C14	448,901
(C₄×C₈)⋊₉C₁₄ = C₇×C₈.₁₂D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):9C14	448,903
(C₄×C₈)⋊₁₀C₁₄ = C₇×C₈○D₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	112	2	(C4xC8):10C14	448,851
(C₄×C₈)⋊₁₁C₁₄ = SD₁₆×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):11C14	448,846
(C₄×C₈)⋊₁₂C₁₄ = C₇×C₈⋊₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):12C14	448,900
(C₄×C₈)⋊₁₃C₁₄ = M₄(2)×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):13C14	448,812
(C₄×C₈)⋊₁₄C₁₄ = C₇×C₈○₂M₄(2)	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):14C14	448,813
(C₄×C₈)⋊₁₅C₁₄ = C₇×C₈⋊₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):15C14	448,844

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₈).₁C₁₄ = C₇×Q₈⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).1C14	448,130
(C₄×C₈).₂C₁₄ = C₇×C₄⋊C₁₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).2C14	448,167
(C₄×C₈).₃C₁₄ = Q₈×C₅₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).3C14	448,853
(C₄×C₈).₄C₁₄ = C₇×C₄.SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).4C14	448,895
(C₄×C₈).₅C₁₄ = C₇×C₈⋊₁C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).5C14	448,139
(C₄×C₈).₆C₁₄ = Q₁₆×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).6C14	448,847
(C₄×C₈).₇C₁₄ = C₇×C₄⋊Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).7C14	448,902
(C₄×C₈).₈C₁₄ = C₇×C₈⋊₂Q₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).8C14	448,908
(C₄×C₈).₉C₁₄ = C₇×C₈.₅Q₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).9C14	448,907
(C₄×C₈).₁₀C₁₄ = C₇×C₈.C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	112	2	(C4xC8).10C14	448,168
(C₄×C₈).₁₁C₁₄ = C₇×C₈⋊₂C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).11C14	448,138
(C₄×C₈).₁₂C₁₄ = C₇×C₈⋊₃Q₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).12C14	448,906
(C₄×C₈).₁₃C₁₄ = C₇×C₈⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).13C14	448,126
(C₄×C₈).₁₄C₁₄ = C₇×C₁₆⋊₅C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).14C14	448,150
(C₄×C₈).₁₅C₁₄ = C₇×C₈⋊₄Q₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).15C14	448,854

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