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
C₃×C₅⋊S₄		60	6	C3xC5:S4	360,139

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₅⋊S₄) = A₄⋊D₁₅	φ: C₅⋊S₄/C₅×A₄ → C₂ ⊆ Aut C₃	60	6+	C3:(C5:S4)	360,141

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) = C₂²⋊D₄₅	φ: C₅⋊S₄/C₅×A₄ → C₂ ⊆ Aut C₃	90	6+	C3.(C5:S4)	360,41

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