Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₆

Direct product G=N×Q with N=D₁₂ and Q=C₆

		d	ρ	Label	ID
C₆×D₁₂		48		C6xD12	144,160

Semidirect products G=N:Q with N=D₁₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁C₆ = C₃×D₂₄	φ: C₆/C₃ → C₂ ⊆ Out D₁₂	48	2	D12:1C6	144,72
D₁₂⋊₂C₆ = C₃×D₄⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out D₁₂	24	4	D12:2C6	144,80
D₁₂⋊₃C₆ = C₃×S₃×D₄	φ: C₆/C₃ → C₂ ⊆ Out D₁₂	24	4	D12:3C6	144,162
D₁₂⋊₄C₆ = C₃×Q₈⋊₃S₃	φ: C₆/C₃ → C₂ ⊆ Out D₁₂	48	4	D12:4C6	144,165
D₁₂⋊₅C₆ = C₃×C₄○D₁₂	φ: trivial image	24	2	D12:5C6	144,161

Non-split extensions G=N.Q with N=D₁₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁C₆ = C₃×C₂₄⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out D₁₂	48	2	D12.1C6	144,71
D₁₂.₂C₆ = C₃×Q₈⋊₂S₃	φ: C₆/C₃ → C₂ ⊆ Out D₁₂	48	4	D12.2C6	144,82

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