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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁C₃₀ = C₁₅×C₂²⋊C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂×C₄	120		(C2xC4):1C30	240,82
(C₂×C₄)⋊₂C₃₀ = D₄×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂×C₄	120		(C2xC4):2C30	240,186
(C₂×C₄)⋊₃C₃₀ = C₁₅×C₄○D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂×C₄	120	2	(C2xC4):3C30	240,188

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁C₃₀ = C₁₅×C₄⋊C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂×C₄	240		(C2xC4).1C30	240,83
(C₂×C₄).₂C₃₀ = C₁₅×M₄(2)	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂×C₄	120	2	(C2xC4).2C30	240,85
(C₂×C₄).₃C₃₀ = Q₈×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂×C₄	240		(C2xC4).3C30	240,187

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