Extensions 1→N→G→Q→1 with N=C₂²×C₄ and Q=C₃₀

Direct product G=N×Q with N=C₂²×C₄ and Q=C₃₀

		d	ρ	Label	ID
C₂³×C₆₀		480		C2^3xC60	480,1180

Semidirect products G=N:Q with N=C₂²×C₄ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄)⋊C₃₀ = C₅×D₄×A₄	φ: C₃₀/C₅ → C₆ ⊆ Aut C₂²×C₄	60	6	(C2^2xC4):C30	480,1127
(C₂²×C₄)⋊₂C₃₀ = A₄×C₂×C₂₀	φ: C₃₀/C₁₀ → C₃ ⊆ Aut C₂²×C₄	120		(C2^2xC4):2C30	480,1126
(C₂²×C₄)⋊₃C₃₀ = C₂²⋊C₄×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂²×C₄	240		(C2^2xC4):3C30	480,920
(C₂²×C₄)⋊₄C₃₀ = D₄×C₆₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂²×C₄	240		(C2^2xC4):4C30	480,923
(C₂²×C₄)⋊₅C₃₀ = C₁₅×C₂².D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂²×C₄	240		(C2^2xC4):5C30	480,928
(C₂²×C₄)⋊₆C₃₀ = C₁₅×C₄⋊D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂²×C₄	240		(C2^2xC4):6C30	480,926
(C₂²×C₄)⋊₇C₃₀ = D₄×C₂×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂²×C₄	240		(C2^2xC4):7C30	480,1181
(C₂²×C₄)⋊₈C₃₀ = C₄○D₄×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂²×C₄	240		(C2^2xC4):8C30	480,1183

Non-split extensions G=N.Q with N=C₂²×C₄ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄).C₃₀ = C₅×Q₈×A₄	φ: C₃₀/C₅ → C₆ ⊆ Aut C₂²×C₄	120	6	(C2^2xC4).C30	480,1129
(C₂²×C₄).₂C₃₀ = A₄×C₄₀	φ: C₃₀/C₁₀ → C₃ ⊆ Aut C₂²×C₄	120	3	(C2^2xC4).2C30	480,659
(C₂²×C₄).₃C₃₀ = C₁₅×C₂.C₄²	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂²×C₄	480		(C2^2xC4).3C30	480,198
(C₂²×C₄).₄C₃₀ = C₁₅×C₂²⋊C₈	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂²×C₄	240		(C2^2xC4).4C30	480,201
(C₂²×C₄).₅C₃₀ = C₄⋊C₄×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂²×C₄	480		(C2^2xC4).5C30	480,921
(C₂²×C₄).₆C₃₀ = C₁₅×C₄²⋊C₂	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂²×C₄	240		(C2^2xC4).6C30	480,922
(C₂²×C₄).₇C₃₀ = C₁₅×C₂²⋊Q₈	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂²×C₄	240		(C2^2xC4).7C30	480,927
(C₂²×C₄).₈C₃₀ = M₄(2)×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂²×C₄	240		(C2^2xC4).8C30	480,935
(C₂²×C₄).₉C₃₀ = Q₈×C₂×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂²×C₄	480		(C2^2xC4).9C30	480,1182

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