Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₈

Direct product G=N×Q with N=D₁₂ and Q=C₈

		d	ρ	Label	ID
C₈×D₁₂		96		C8xD12	192,245

Semidirect products G=N:Q with N=D₁₂ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁C₈ = C₄.₁₇D₂₄	φ: C₈/C₄ → C₂ ⊆ Out D₁₂	96		D12:1C8	192,18
D₁₂⋊₂C₈ = D₁₂⋊₂C₈	φ: C₈/C₄ → C₂ ⊆ Out D₁₂	96		D12:2C8	192,42
D₁₂⋊₃C₈ = D₁₂⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out D₁₂	96		D12:3C8	192,393

Non-split extensions G=N.Q with N=D₁₂ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁C₈ = D₁₂.C₈	φ: C₈/C₄ → C₂ ⊆ Out D₁₂	96	2	D12.1C8	192,67
D₁₂.₂C₈ = Dic₆.C₈	φ: C₈/C₄ → C₂ ⊆ Out D₁₂	96	4	D12.2C8	192,74
D₁₂.₃C₈ = C₁₆.₁₂D₆	φ: C₈/C₄ → C₂ ⊆ Out D₁₂	96	4	D12.3C8	192,466
D₁₂.₄C₈ = D₁₂.₄C₈	φ: trivial image	96	2	D12.4C8	192,460

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