Extensions 1→N→G→Q→1 with N=Dic₁₅ and Q=C₆

Direct product G=N×Q with N=Dic₁₅ and Q=C₆

		d	ρ	Label	ID
C₆×Dic₁₅		120		C6xDic15	360,103

Semidirect products G=N:Q with N=Dic₁₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₅⋊₁C₆ = C₃×C₁₅⋊₇D₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₅	60	2	Dic15:1C6	360,104
Dic₁₅⋊₂C₆ = C₃×D₅×Dic₃	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₅	60	4	Dic15:2C6	360,58
Dic₁₅⋊₃C₆ = C₃×S₃×Dic₅	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₅	120	4	Dic15:3C6	360,59
Dic₁₅⋊₄C₆ = C₃×C₁₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₅	60	4	Dic15:4C6	360,61
Dic₁₅⋊₅C₆ = C₁₂×D₁₅	φ: trivial image	120	2	Dic15:5C6	360,101

Non-split extensions G=N.Q with N=Dic₁₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₅.₁C₆ = C₃×Dic₃₀	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₅	120	2	Dic15.1C6	360,100
Dic₁₅.₂C₆ = C₃×C₁₅⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₅	120	4	Dic15.2C6	360,64

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