Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅×SL₂(𝔽₃)

Direct product G=N×Q with N=C₂² and Q=C₅×SL₂(𝔽₃)

		d	ρ	Label	ID
C₂×C₁₀×SL₂(𝔽₃)		160		C2xC10xSL(2,3)	480,1128

Semidirect products G=N:Q with N=C₂² and Q=C₅×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₅×SL₂(𝔽₃)) = C₅×Q₈⋊A₄	φ: C₅×SL₂(𝔽₃)/C₅×Q₈ → C₃ ⊆ Aut C₂²	120	6	C2^2:(C5xSL(2,3))	480,1133

Non-split extensions G=N.Q with N=C₂² and Q=C₅×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₅×SL₂(𝔽₃)) = C₅×C₂³.₃A₄	φ: C₅×SL₂(𝔽₃)/C₅×Q₈ → C₃ ⊆ Aut C₂²	60	6	C2^2.(C5xSL(2,3))	480,74

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=C5×SL2(𝔽3)