Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×C₃₀

Direct product G=N×Q with N=C₄ and Q=C₂×C₃₀

		d	ρ	Label	ID
C₂²×C₆₀		240		C2^2xC60	240,185

Semidirect products G=N:Q with N=C₄ and Q=C₂×C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×C₃₀) = D₄×C₃₀	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₄	120		C4:(C2xC30)	240,186

Non-split extensions G=N.Q with N=C₄ and Q=C₂×C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×C₃₀) = C₁₅×D₈	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₄	120	2	C4.1(C2xC30)	240,86
C₄.₂(C₂×C₃₀) = C₁₅×SD₁₆	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₄	120	2	C4.2(C2xC30)	240,87
C₄.₃(C₂×C₃₀) = C₁₅×Q₁₆	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₄	240	2	C4.3(C2xC30)	240,88
C₄.₄(C₂×C₃₀) = Q₈×C₃₀	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₄	240		C4.4(C2xC30)	240,187
C₄.₅(C₂×C₃₀) = C₁₅×C₄○D₄	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₄	120	2	C4.5(C2xC30)	240,188
C₄.₆(C₂×C₃₀) = C₁₅×M₄(2)	central extension (φ=1)	120	2	C4.6(C2xC30)	240,85

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