Extensions 1→N→G→Q→1 with N=C₂² and Q=D₆

Direct product G=N×Q with N=C₂² and Q=D₆

		d	ρ	Label	ID
S₃×C₂³		24		S3xC2^3	48,51

Semidirect products G=N:Q with N=C₂² and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊D₆ = C₂×S₄	φ: D₆/C₂ → S₃ ⊆ Aut C₂²	6	3+	C2^2:D6	48,48
C₂²⋊₂D₆ = S₃×D₄	φ: D₆/S₃ → C₂ ⊆ Aut C₂²	12	4+	C2^2:2D6	48,38
C₂²⋊₃D₆ = C₂×C₃⋊D₄	φ: D₆/C₆ → C₂ ⊆ Aut C₂²	24		C2^2:3D6	48,43

Non-split extensions G=N.Q with N=C₂² and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₆ = D₄⋊₂S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₂²	24	4-	C2^2.1D6	48,39
C₂².₂D₆ = C₄○D₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₂²	24	2	C2^2.2D6	48,37
C₂².₃D₆ = C₄×Dic₃	central extension (φ=1)	48		C2^2.3D6	48,11
C₂².₄D₆ = Dic₃⋊C₄	central extension (φ=1)	48		C2^2.4D6	48,12
C₂².₅D₆ = C₄⋊Dic₃	central extension (φ=1)	48		C2^2.5D6	48,13
C₂².₆D₆ = D₆⋊C₄	central extension (φ=1)	24		C2^2.6D6	48,14
C₂².₇D₆ = C₆.D₄	central extension (φ=1)	24		C2^2.7D6	48,19
C₂².₈D₆ = C₂×Dic₆	central extension (φ=1)	48		C2^2.8D6	48,34
C₂².₉D₆ = S₃×C₂×C₄	central extension (φ=1)	24		C2^2.9D6	48,35
C₂².₁₀D₆ = C₂×D₁₂	central extension (φ=1)	24		C2^2.10D6	48,36
C₂².₁₁D₆ = C₂²×Dic₃	central extension (φ=1)	48		C2^2.11D6	48,42

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