Extensions 1→N→G→Q→1 with N=C₈ and Q=C₁₂

Direct product G=N×Q with N=C₈ and Q=C₁₂

		d	ρ	Label	ID
C₄×C₂₄		96		C4xC24	96,46

Semidirect products G=N:Q with N=C₈ and Q=C₁₂

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁C₁₂ = C₃×C₂.D₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₈	96	C8:1C12	96,57
C₈⋊₂C₁₂ = C₃×C₄.Q₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₈	96	C8:2C12	96,56
C₈⋊₃C₁₂ = C₃×C₈⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₈	96	C8:3C12	96,47

Non-split extensions G=N.Q with N=C₈ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁C₁₂ = C₃×C₈.C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₈	48	2	C8.1C12	96,58
C₈.₂C₁₂ = C₃×M₅(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₈	48	2	C8.2C12	96,60

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C8 and Q=C12