Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆.Dic₃

Direct product G=N×Q with N=C₃ and Q=D₆.Dic₃

		d	ρ	Label	ID
C₃×D₆.Dic₃		48	4	C3xD6.Dic3	432,416

Semidirect products G=N:Q with N=C₃ and Q=D₆.Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₆.Dic₃) = C₃³⋊₈M₄(2)	φ: D₆.Dic₃/C₃×C₃⋊C₈ → C₂ ⊆ Aut C₃	144		C3:1(D6.Dic3)	432,434
C₃⋊₂(D₆.Dic₃) = C₃³⋊₁₀M₄(2)	φ: D₆.Dic₃/C₃²⋊₄C₈ → C₂ ⊆ Aut C₃	48	4	C3:2(D6.Dic3)	432,456
C₃⋊₃(D₆.Dic₃) = C₃³⋊₇M₄(2)	φ: D₆.Dic₃/S₃×C₁₂ → C₂ ⊆ Aut C₃	144		C3:3(D6.Dic3)	432,433

Non-split extensions G=N.Q with N=C₃ and Q=D₆.Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(D₆.Dic₃) = C₃₆.₃₉D₆	φ: D₆.Dic₃/C₃×C₃⋊C₈ → C₂ ⊆ Aut C₃	144	4	C3.1(D6.Dic3)	432,60
C₃.₂(D₆.Dic₃) = He₃⋊M₄(2)	φ: D₆.Dic₃/C₃²⋊₄C₈ → C₂ ⊆ Aut C₃	72	6	C3.2(D6.Dic3)	432,77
C₃.₃(D₆.Dic₃) = D₆.Dic₉	φ: D₆.Dic₃/S₃×C₁₂ → C₂ ⊆ Aut C₃	144	4	C3.3(D6.Dic3)	432,67

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Extensions 1→N→G→Q→1 with N=C3 and Q=D6.Dic3