Extensions 1→N→G→Q→1 with N=D₅×A₄ and Q=C₂²

Direct product G=N×Q with N=D₅×A₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₅×A₄		60		C2^2xD5xA4	480,1202

Semidirect products G=N:Q with N=D₅×A₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×A₄)⋊C₂² = C₂×D₅×S₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅×A₄	30	6+	(D5xA4):C2^2	480,1193

Non-split extensions G=N.Q with N=D₅×A₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×A₄).C₂² = F₅×S₄	φ: C₂²/C₁ → C₂² ⊆ Out D₅×A₄	20	12+	(D5xA4).C2^2	480,1189
(D₅×A₄).₂C₂² = C₂×A₄⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×A₄	30	12+	(D5xA4).2C2^2	480,1191
(D₅×A₄).₃C₂² = C₂×A₄×F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×A₄	30	12+	(D5xA4).3C2^2	480,1192

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D5×A4 and Q=C22