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

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

		d	ρ	Label	ID
C₆×Dic₅		120		C6xDic5	120,19

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊Dic₅ = C₂×Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₆	120		C6:Dic5	120,29

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.Dic₅ = C₁₅⋊₃C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₆	120	2	C6.Dic5	120,3
C₆.₂Dic₅ = C₃×C₅⋊₂C₈	central extension (φ=1)	120	2	C6.2Dic5	120,2

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