Extensions 1→N→G→Q→1 with N=D₅ and Q=M₅(2)

Direct product G=N×Q with N=D₅ and Q=M₅(2)

		d	ρ	Label	ID
D₅×M₅(2)		80	4	D5xM5(2)	320,533

Semidirect products G=N:Q with N=D₅ and Q=M₅(2)

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊M₅(2) = D₅⋊M₅(2)	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Out D₅	80	4	D5:M5(2)	320,1053

Non-split extensions G=N.Q with N=D₅ and Q=M₅(2)

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.M₅(2) = C₁₆⋊₇F₅	φ: M₅(2)/C₁₆ → C₂ ⊆ Out D₅	80	4	D5.M5(2)	320,182

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D5 and Q=M5(2)