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

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

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

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

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₆)⋊₁C₈ = C₃×C₂²⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₆	48	(C2xC6):1C8	96,48
(C₂×C₆)⋊₂C₈ = C₁₂.₅₅D₄	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₆	48	(C2xC6):2C8	96,37
(C₂×C₆)⋊₃C₈ = C₂²×C₃⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₆	96	(C2xC6):3C8	96,127

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).₁C₈ = C₃×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₆	48	2	(C2xC6).1C8	96,60
(C₂×C₆).₂C₈ = C₂×C₃⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₆	96		(C2xC6).2C8	96,18
(C₂×C₆).₃C₈ = C₁₂.C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₆	48	2	(C2xC6).3C8	96,19

⋊

ℤ

𝔽

○

≀

ℚ

◁

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