Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×A₅

Direct product G=N×Q with N=C₂² and Q=C₂×A₅

		d	ρ	Label	ID
C₂³×A₅		40		C2^3xA5	480,1187

Semidirect products G=N:Q with N=C₂² and Q=C₂×A₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×A₅) = D₄×A₅	φ: C₂×A₅/A₅ → C₂ ⊆ Aut C₂²	20	6+	C2^2:(C2xA5)	480,956

Non-split extensions G=N.Q with N=C₂² and Q=C₂×A₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂×A₅) = D₄.A₅	φ: C₂×A₅/A₅ → C₂ ⊆ Aut C₂²	48	4-	C2^2.(C2xA5)	480,957
C₂².₂(C₂×A₅) = C₄×SL₂(𝔽₅)	central extension (φ=1)	96		C2^2.2(C2xA5)	480,222
C₂².₃(C₂×A₅) = C₂×C₄×A₅	central extension (φ=1)	40		C2^2.3(C2xA5)	480,954
C₂².₄(C₂×A₅) = C₂×C₄.A₅	central extension (φ=1)	48		C2^2.4(C2xA5)	480,955
C₂².₅(C₂×A₅) = C₂²×SL₂(𝔽₅)	central extension (φ=1)	96		C2^2.5(C2xA5)	480,960

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁