Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₃₀

Direct product G=NxQ with N=C₂xC₄ and Q=C₃₀

		d	ρ	Label	ID
C₂²xC₆₀		240		C2^2xC60	240,185

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):₁C₃₀ = C₁₅xC₂²:C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₄	120		(C2xC4):1C30	240,82
(C₂xC₄):₂C₃₀ = D₄xC₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₄	120		(C2xC4):2C30	240,186
(C₂xC₄):₃C₃₀ = C₁₅xC₄oD₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₄	120	2	(C2xC4):3C30	240,188

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).₁C₃₀ = C₁₅xC₄:C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₄	240		(C2xC4).1C30	240,83
(C₂xC₄).₂C₃₀ = C₁₅xM₄(2)	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₄	120	2	(C2xC4).2C30	240,85
(C₂xC₄).₃C₃₀ = Q₈xC₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₄	240		(C2xC4).3C30	240,187

Extensions 1→N→G→Q→1 with N=C2xC4 and Q=C30