Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=C₁₄

Direct product G=N×Q with N=C₂×C₈ and Q=C₁₄

		d	ρ	Label	ID
C₂²×C₅₆		224		C2^2xC56	224,164

Semidirect products G=N:Q with N=C₂×C₈ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁C₁₄ = C₇×C₂²⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₈	112		(C2xC8):1C14	224,47
(C₂×C₈)⋊₂C₁₄ = C₇×D₄⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₈	112		(C2xC8):2C14	224,51
(C₂×C₈)⋊₃C₁₄ = C₁₄×D₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₈	112		(C2xC8):3C14	224,167
(C₂×C₈)⋊₄C₁₄ = C₇×C₄○D₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₈	112	2	(C2xC8):4C14	224,170
(C₂×C₈)⋊₅C₁₄ = C₁₄×SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₈	112		(C2xC8):5C14	224,168
(C₂×C₈)⋊₆C₁₄ = C₁₄×M₄(2)	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₈	112		(C2xC8):6C14	224,165
(C₂×C₈)⋊₇C₁₄ = C₇×C₈○D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₈	112	2	(C2xC8):7C14	224,166

Non-split extensions G=N.Q with N=C₂×C₈ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁C₁₄ = C₇×Q₈⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).1C14	224,52
(C₂×C₈).₂C₁₄ = C₇×C₄⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).2C14	224,54
(C₂×C₈).₃C₁₄ = C₇×C₂.D₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).3C14	224,56
(C₂×C₈).₄C₁₄ = C₁₄×Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).4C14	224,169
(C₂×C₈).₅C₁₄ = C₇×C₈.C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₈	112	2	(C2xC8).5C14	224,57
(C₂×C₈).₆C₁₄ = C₇×C₄.Q₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).6C14	224,55
(C₂×C₈).₇C₁₄ = C₇×C₈⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).7C14	224,46
(C₂×C₈).₈C₁₄ = C₇×M₅(2)	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₈	112	2	(C2xC8).8C14	224,59

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁