Extensions 1→N→G→Q→1 with N=C₃ and Q=C₉⋊C₁₂

Direct product G=N×Q with N=C₃ and Q=C₉⋊C₁₂

		d	ρ	Label	ID
C₃×C₉⋊C₁₂		36	6	C3xC9:C12	324,94

Semidirect products G=N:Q with N=C₃ and Q=C₉⋊C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₉⋊C₁₂) = C₃³.Dic₃	φ: C₉⋊C₁₂/C₂×3_-¹⁺² → C₂ ⊆ Aut C₃	108		C3:(C9:C12)	324,100

Non-split extensions G=N.Q with N=C₃ and Q=C₉⋊C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₉⋊C₁₂) = C₃²⋊Dic₉	φ: C₉⋊C₁₂/C₂×3_-¹⁺² → C₂ ⊆ Aut C₃	108		C3.(C9:C12)	324,8
C₃.₂(C₉⋊C₁₂) = C₉⋊C₃₆	central extension (φ=1)	36	6	C3.2(C9:C12)	324,9

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Extensions 1→N→G→Q→1 with N=C3 and Q=C9⋊C12