Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₄

Direct product G=N×Q with N=D₁₂ and Q=C₄

		d	ρ	Label	ID
C₄×D₁₂		48		C4xD12	96,80

Semidirect products G=N:Q with N=D₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁C₄ = C₄²⋊₄S₃	φ: C₄/C₂ → C₂ ⊆ Out D₁₂	24	2	D12:1C4	96,12
D₁₂⋊₂C₄ = C₂.D₂₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₂	48		D12:2C4	96,28
D₁₂⋊₃C₄ = C₆.D₈	φ: C₄/C₂ → C₂ ⊆ Out D₁₂	48		D12:3C4	96,16
D₁₂⋊₄C₄ = D₁₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₂	24	4	D12:4C4	96,32
D₁₂⋊₅C₄ = Dic₃⋊₅D₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₂	48		D12:5C4	96,100

Non-split extensions G=N.Q with N=D₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.C₄ = D₁₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₂	48	4	D12.C4	96,114
D₁₂.₂C₄ = C₈○D₁₂	φ: trivial image	48	2	D12.2C4	96,108

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