Extensions 1→N→G→Q→1 with N=C₆ and Q=C₅×A₄

Direct product G=N×Q with N=C₆ and Q=C₅×A₄

		d	ρ	Label	ID
A₄×C₃₀		90	3	A4xC30	360,156

Non-split extensions G=N.Q with N=C₆ and Q=C₅×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₅×A₄) = C₅×Q₈⋊C₉	central extension (φ=1)	360	2	C6.1(C5xA4)	360,14
C₆.₂(C₅×A₄) = C₁₀×C₃.A₄	central extension (φ=1)	90	3	C6.2(C5xA4)	360,46
C₆.₃(C₅×A₄) = C₁₅×SL₂(𝔽₃)	central extension (φ=1)	120	2	C6.3(C5xA4)	360,89

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Extensions 1→N→G→Q→1 with N=C6 and Q=C5×A4