Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₆

Direct product G=NxQ with N=Dic₅ and Q=C₆

		d	ρ	Label	ID
C₆xDic₅		120		C6xDic5	120,19

Semidirect products G=N:Q with N=Dic₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅:C₆ = C₃xC₅:D₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₅	60	2	Dic5:C6	120,20
Dic₅:₂C₆ = D₅xC₁₂	φ: trivial image	60	2	Dic5:2C6	120,17

Non-split extensions G=N.Q with N=Dic₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁C₆ = C₃xDic₁₀	φ: C₆/C₃ → C₂ ⊆ Out Dic₅	120	2	Dic5.1C6	120,16
Dic₅.₂C₆ = C₃xC₅:C₈	φ: C₆/C₃ → C₂ ⊆ Out Dic₅	120	4	Dic5.2C6	120,6

Extensions 1→N→G→Q→1 with N=Dic5 and Q=C6