Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃²×C₆

Direct product G=N×Q with N=C₂³ and Q=C₃²×C₆

		d	ρ	Label	ID
C₂×C₆³		432		C2xC6^3	432,775

Semidirect products G=N:Q with N=C₂³ and Q=C₃²×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊(C₃²×C₆) = A₄×C₆²	φ: C₃²×C₆/C₃×C₆ → C₃ ⊆ Aut C₂³	108		C2^3:(C3^2xC6)	432,770
C₂³⋊₂(C₃²×C₆) = D₄×C₃²×C₆	φ: C₃²×C₆/C₃³ → C₂ ⊆ Aut C₂³	216		C2^3:2(C3^2xC6)	432,731

Non-split extensions G=N.Q with N=C₂³ and Q=C₃²×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.(C₃²×C₆) = A₄×C₃×C₁₂	φ: C₃²×C₆/C₃×C₆ → C₃ ⊆ Aut C₂³	108		C2^3.(C3^2xC6)	432,697
C₂³.₂(C₃²×C₆) = C₂²⋊C₄×C₃³	φ: C₃²×C₆/C₃³ → C₂ ⊆ Aut C₂³	216		C2^3.2(C3^2xC6)	432,513

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Extensions 1→N→G→Q→1 with N=C23 and Q=C32×C6