Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×M₅(2)

Direct product G=N×Q with N=C₃ and Q=C₃×M₅(2)

		d	ρ	Label	ID
C₃²×M₅(2)		144		C3^2xM5(2)	288,328

Semidirect products G=N:Q with N=C₃ and Q=C₃×M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×M₅(2)) = C₃×D₆.C₈	φ: C₃×M₅(2)/C₄₈ → C₂ ⊆ Aut C₃	96	2	C3:1(C3xM5(2))	288,232
C₃⋊₂(C₃×M₅(2)) = C₃×C₁₂.C₈	φ: C₃×M₅(2)/C₂×C₂₄ → C₂ ⊆ Aut C₃	48	2	C3:2(C3xM5(2))	288,246

Non-split extensions G=N.Q with N=C₃ and Q=C₃×M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×M₅(2)) = C₉×M₅(2)	central extension (φ=1)	144	2	C3.(C3xM5(2))	288,60

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×M5(2)