Extensions 1→N→G→Q→1 with N=C₂² and Q=Dic₃

Direct product G=N×Q with N=C₂² and Q=Dic₃

		d	ρ	Label	ID
C₂²×Dic₃		48		C2^2xDic3	48,42

Semidirect products G=N:Q with N=C₂² and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊Dic₃ = A₄⋊C₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂²	12	3	C2^2:Dic3	48,30
C₂²⋊₂Dic₃ = C₆.D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²	24		C2^2:2Dic3	48,19

Non-split extensions G=N.Q with N=C₂² and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².Dic₃ = C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²	24	2	C2^2.Dic3	48,10
C₂².₂Dic₃ = C₂×C₃⋊C₈	central extension (φ=1)	48		C2^2.2Dic3	48,9

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Extensions 1→N→G→Q→1 with N=C22 and Q=Dic3