Extensions 1→N→G→Q→1 with N=C₁₅ and Q=Dic₆

Direct product G=N×Q with N=C₁₅ and Q=Dic₆

		d	ρ	Label	ID
C₁₅×Dic₆		120	2	C15xDic6	360,95

Semidirect products G=N:Q with N=C₁₅ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁Dic₆ = C₁₅⋊Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₅	360		C15:1Dic6	360,71
C₁₅⋊₂Dic₆ = C₃⋊Dic₃₀	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₅	120	4-	C15:2Dic6	360,83
C₁₅⋊₃Dic₆ = C₃²⋊₃Dic₁₀	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₅	120	4	C15:3Dic6	360,88
C₁₅⋊₄Dic₆ = C₃×C₁₅⋊Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₅	120	4	C15:4Dic6	360,64
C₁₅⋊₅Dic₆ = C₅×C₃²⋊₂Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₅	120	4	C15:5Dic6	360,76
C₁₅⋊₆Dic₆ = C₁₂.D₁₅	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₅	360		C15:6Dic6	360,110
C₁₅⋊₇Dic₆ = C₃×Dic₃₀	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₅	120	2	C15:7Dic6	360,100
C₁₅⋊₈Dic₆ = C₅×C₃²⋊₄Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₅	360		C15:8Dic6	360,105

Non-split extensions G=N.Q with N=C₁₅ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.Dic₆ = C₄₅⋊Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₅	360	4-	C15.Dic6	360,7
C₁₅.₂Dic₆ = Dic₉₀	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₅	360	2-	C15.2Dic6	360,25
C₁₅.₃Dic₆ = C₅×Dic₁₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₅	360	2	C15.3Dic6	360,20

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