Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃³⋊C₂

Direct product G=N×Q with N=C₂² and Q=C₃³⋊C₂

		d	ρ	Label	ID
C₂²×C₃³⋊C₂		108		C2^2xC3^3:C2	216,176

Semidirect products G=N:Q with N=C₂² and Q=C₃³⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃³⋊C₂) = C₃²⋊₄S₄	φ: C₃³⋊C₂/C₃² → S₃ ⊆ Aut C₂²	36		C2^2:(C3^3:C2)	216,165
C₂²⋊₂(C₃³⋊C₂) = C₃³⋊₁₅D₄	φ: C₃³⋊C₂/C₃³ → C₂ ⊆ Aut C₂²	108		C2^2:2(C3^3:C2)	216,149

Non-split extensions G=N.Q with N=C₂² and Q=C₃³⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃³⋊C₂) = C₂×C₃³⋊₅C₄	central extension (φ=1)	216		C2^2.(C3^3:C2)	216,148

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Extensions 1→N→G→Q→1 with N=C22 and Q=C33⋊C2