Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃²×D₅

Direct product G=N×Q with N=C₂² and Q=C₃²×D₅

		d	ρ	Label	ID
D₅×C₆²		180		D5xC6^2	360,157

Semidirect products G=N:Q with N=C₂² and Q=C₃²×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃²×D₅) = C₃×D₅×A₄	φ: C₃²×D₅/C₃×D₅ → C₃ ⊆ Aut C₂²	60	6	C2^2:(C3^2xD5)	360,142
C₂²⋊₂(C₃²×D₅) = C₃²×C₅⋊D₄	φ: C₃²×D₅/C₃×C₁₅ → C₂ ⊆ Aut C₂²	180		C2^2:2(C3^2xD5)	360,94

Non-split extensions G=N.Q with N=C₂² and Q=C₃²×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃²×D₅) = C₃×C₆×Dic₅	central extension (φ=1)	360		C2^2.(C3^2xD5)	360,93

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Extensions 1→N→G→Q→1 with N=C22 and Q=C32×D5