Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅×A₄

Direct product G=N×Q with N=C₃ and Q=D₅×A₄

		d	ρ	Label	ID
C₃×D₅×A₄		60	6	C3xD5xA4	360,142

Semidirect products G=N:Q with N=C₃ and Q=D₅×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(D₅×A₄) = A₄×D₁₅	φ: D₅×A₄/C₅×A₄ → C₂ ⊆ Aut C₃	60	6+	C3:(D5xA4)	360,144

Non-split extensions G=N.Q with N=C₃ and Q=D₅×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₅×A₄) = D₅×C₃.A₄	central extension (φ=1)	90	6	C3.(D5xA4)	360,42

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Extensions 1→N→G→Q→1 with N=C3 and Q=D5×A4