Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅×S₄

Direct product G=N×Q with N=C₃ and Q=C₅×S₄

		d	ρ	Label	ID
C₁₅×S₄		60	3	C15xS4	360,138

Semidirect products G=N:Q with N=C₃ and Q=C₅×S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₅×S₄) = C₅×C₃⋊S₄	φ: C₅×S₄/C₅×A₄ → C₂ ⊆ Aut C₃	60	6	C3:(C5xS4)	360,140

Non-split extensions G=N.Q with N=C₃ and Q=C₅×S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₅×S₄) = C₅×C₃.S₄	φ: C₅×S₄/C₅×A₄ → C₂ ⊆ Aut C₃	90	6	C3.(C5xS4)	360,40

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Extensions 1→N→G→Q→1 with N=C3 and Q=C5×S4