Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₃₀

Direct product G=N×Q with N=C₂² and Q=C₂×C₃₀

		d	ρ	Label	ID
C₂³×C₃₀		240		C2^3xC30	240,208

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₃₀) = A₄×C₂×C₁₀	φ: C₂×C₃₀/C₂×C₁₀ → C₃ ⊆ Aut C₂²	60		C2^2:(C2xC30)	240,203
C₂²⋊₂(C₂×C₃₀) = D₄×C₃₀	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₂²	120		C2^2:2(C2xC30)	240,186

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂×C₃₀) = C₁₅×C₄○D₄	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₂²	120	2	C2^2.(C2xC30)	240,188
C₂².₂(C₂×C₃₀) = C₁₅×C₂²⋊C₄	central extension (φ=1)	120		C2^2.2(C2xC30)	240,82
C₂².₃(C₂×C₃₀) = C₁₅×C₄⋊C₄	central extension (φ=1)	240		C2^2.3(C2xC30)	240,83
C₂².₄(C₂×C₃₀) = Q₈×C₃₀	central extension (φ=1)	240		C2^2.4(C2xC30)	240,187

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