Extensions 1→N→G→Q→1 with N=C₂² and Q=D₁₂

Direct product G=N×Q with N=C₂² and Q=D₁₂

		d	ρ	Label	ID
C₂²×D₁₂		48		C2^2xD12	96,207

Semidirect products G=N:Q with N=C₂² and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊D₁₂ = C₄⋊S₄	φ: D₁₂/C₄ → S₃ ⊆ Aut C₂²	12	6+	C2^2:D12	96,187
C₂²⋊₂D₁₂ = C₁₂⋊₇D₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₂²	48		C2^2:2D12	96,137
C₂²⋊₃D₁₂ = D₆⋊D₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂²	24		C2^2:3D12	96,89

Non-split extensions G=N.Q with N=C₂² and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₁₂ = C₄○D₂₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₂²	48	2	C2^2.1D12	96,111
C₂².₂D₁₂ = C₂³.₆D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂²	24	4	C2^2.2D12	96,13
C₂².₃D₁₂ = D₁₂⋊C₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂²	24	4	C2^2.3D12	96,32
C₂².₄D₁₂ = C₂³.₂₁D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂²	48		C2^2.4D12	96,93
C₂².₅D₁₂ = C₈⋊D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂²	24	4+	C2^2.5D12	96,115
C₂².₆D₁₂ = C₈.D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂²	48	4-	C2^2.6D12	96,116
C₂².₇D₁₂ = C₂.Dic₁₂	central extension (φ=1)	96		C2^2.7D12	96,23
C₂².₈D₁₂ = C₈⋊Dic₃	central extension (φ=1)	96		C2^2.8D12	96,24
C₂².₉D₁₂ = C₂₄⋊₁C₄	central extension (φ=1)	96		C2^2.9D12	96,25
C₂².₁₀D₁₂ = C₂.D₂₄	central extension (φ=1)	48		C2^2.10D12	96,28
C₂².₁₁D₁₂ = C₆.C₄²	central extension (φ=1)	96		C2^2.11D12	96,38
C₂².₁₂D₁₂ = C₂×C₂₄⋊C₂	central extension (φ=1)	48		C2^2.12D12	96,109
C₂².₁₃D₁₂ = C₂×D₂₄	central extension (φ=1)	48		C2^2.13D12	96,110
C₂².₁₄D₁₂ = C₂×Dic₁₂	central extension (φ=1)	96		C2^2.14D12	96,112
C₂².₁₅D₁₂ = C₂×C₄⋊Dic₃	central extension (φ=1)	96		C2^2.15D12	96,132
C₂².₁₆D₁₂ = C₂×D₆⋊C₄	central extension (φ=1)	48		C2^2.16D12	96,134

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