Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃²⋊C₆

Direct product G=N×Q with N=C₂² and Q=C₃²⋊C₆

		d	ρ	Label	ID
C₂²×C₃²⋊C₆		36		C2^2xC3^2:C6	216,110

Semidirect products G=N:Q with N=C₂² and Q=C₃²⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃²⋊C₆) = C₆²⋊S₃	φ: C₃²⋊C₆/C₃² → S₃ ⊆ Aut C₂²	18	6+	C2^2:(C3^2:C6)	216,92
C₂²⋊₂(C₃²⋊C₆) = C₆²⋊C₆	φ: C₃²⋊C₆/C₃⋊S₃ → C₃ ⊆ Aut C₂²	18	6+	C2^2:2(C3^2:C6)	216,99
C₂²⋊₃(C₃²⋊C₆) = He₃⋊₆D₄	φ: C₃²⋊C₆/He₃ → C₂ ⊆ Aut C₂²	36	6	C2^2:3(C3^2:C6)	216,60

Non-split extensions G=N.Q with N=C₂² and Q=C₃²⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃²⋊C₆) = C₂×C₃²⋊C₁₂	central extension (φ=1)	72		C2^2.(C3^2:C6)	216,59

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Extensions 1→N→G→Q→1 with N=C22 and Q=C32⋊C6