Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xC₃₀

Direct product G=NxQ with N=C₂² and Q=C₂xC₃₀

		d	ρ	Label	ID
C₂³xC₃₀		240		C2^3xC30	240,208

Semidirect products G=N:Q with N=C₂² and Q=C₂xC₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₂xC₃₀) = A₄xC₂xC₁₀	φ: C₂xC₃₀/C₂xC₁₀ → C₃ ⊆ Aut C₂²	60		C2^2:(C2xC30)	240,203
C₂²:₂(C₂xC₃₀) = D₄xC₃₀	φ: C₂xC₃₀/C₃₀ → C₂ ⊆ Aut C₂²	120		C2^2:2(C2xC30)	240,186

Non-split extensions G=N.Q with N=C₂² and Q=C₂xC₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂xC₃₀) = C₁₅xC₄oD₄	φ: C₂xC₃₀/C₃₀ → C₂ ⊆ Aut C₂²	120	2	C2^2.(C2xC30)	240,188
C₂².₂(C₂xC₃₀) = C₁₅xC₂²:C₄	central extension (φ=1)	120		C2^2.2(C2xC30)	240,82
C₂².₃(C₂xC₃₀) = C₁₅xC₄:C₄	central extension (φ=1)	240		C2^2.3(C2xC30)	240,83
C₂².₄(C₂xC₃₀) = Q₈xC₃₀	central extension (φ=1)	240		C2^2.4(C2xC30)	240,187

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