Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=C₆

Direct product G=N×Q with N=C₂×C₈ and Q=C₆

		d	ρ	Label	ID
C₂²×C₂₄		96		C2^2xC24	96,176

Semidirect products G=N:Q with N=C₂×C₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁C₆ = C₃×C₂²⋊C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₈	48		(C2xC8):1C6	96,48
(C₂×C₈)⋊₂C₆ = C₃×D₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₈	48		(C2xC8):2C6	96,52
(C₂×C₈)⋊₃C₆ = C₆×D₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₈	48		(C2xC8):3C6	96,179
(C₂×C₈)⋊₄C₆ = C₃×C₄○D₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₈	48	2	(C2xC8):4C6	96,182
(C₂×C₈)⋊₅C₆ = C₆×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₈	48		(C2xC8):5C6	96,180
(C₂×C₈)⋊₆C₆ = C₆×M₄(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₈	48		(C2xC8):6C6	96,177
(C₂×C₈)⋊₇C₆ = C₃×C₈○D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₈	48	2	(C2xC8):7C6	96,178

Non-split extensions G=N.Q with N=C₂×C₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁C₆ = C₃×Q₈⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).1C6	96,53
(C₂×C₈).₂C₆ = C₃×C₄⋊C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).2C6	96,55
(C₂×C₈).₃C₆ = C₃×C₂.D₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).3C6	96,57
(C₂×C₈).₄C₆ = C₆×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).4C6	96,181
(C₂×C₈).₅C₆ = C₃×C₈.C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₈	48	2	(C2xC8).5C6	96,58
(C₂×C₈).₆C₆ = C₃×C₄.Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).6C6	96,56
(C₂×C₈).₇C₆ = C₃×C₈⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).7C6	96,47
(C₂×C₈).₈C₆ = C₃×M₅(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₈	48	2	(C2xC8).8C6	96,60

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁