Extensions 1→N→G→Q→1 with N=C₂² and Q=Dic₆

Direct product G=N×Q with N=C₂² and Q=Dic₆

		d	ρ	Label	ID
C₂²×Dic₆		96		C2^2xDic6	96,205

Semidirect products G=N:Q with N=C₂² and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊Dic₆ = A₄⋊Q₈	φ: Dic₆/C₄ → S₃ ⊆ Aut C₂²	24	6-	C2^2:Dic6	96,185
C₂²⋊₂Dic₆ = Dic₃.D₄	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂²	48		C2^2:2Dic6	96,85
C₂²⋊₃Dic₆ = C₁₂.₄₈D₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂²	48		C2^2:3Dic6	96,131

Non-split extensions G=N.Q with N=C₂² and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁Dic₆ = C₁₂.₅₃D₄	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.1Dic6	96,29
C₂².₂Dic₆ = C₂₄.C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂²	48	2	C2^2.2Dic6	96,26
C₂².₃Dic₆ = C₆.C₄²	central extension (φ=1)	96		C2^2.3Dic6	96,38
C₂².₄Dic₆ = C₂×Dic₃⋊C₄	central extension (φ=1)	96		C2^2.4Dic6	96,130
C₂².₅Dic₆ = C₂×C₄⋊Dic₃	central extension (φ=1)	96		C2^2.5Dic6	96,132

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