Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₀×A₄

Direct product G=N×Q with N=C₃ and Q=C₁₀×A₄

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

Semidirect products G=N:Q with N=C₃ and Q=C₁₀×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₁₀×A₄) = C₅×S₃×A₄	φ: C₁₀×A₄/C₅×A₄ → C₂ ⊆ Aut C₃	60	6	C3:(C10xA4)	360,143

Non-split extensions G=N.Q with N=C₃ and Q=C₁₀×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₀×A₄) = C₁₀×C₃.A₄	central extension (φ=1)	90	3	C3.(C10xA4)	360,46

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C10×A4