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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊Dic₁₅ = C₂×C₃⋊Dic₁₅	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₆	360		C6:Dic15	360,113

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁Dic₁₅ = C₄₅⋊₃C₈	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₆	360	2	C6.1Dic15	360,3
C₆.₂Dic₁₅ = C₂×Dic₄₅	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₆	360		C6.2Dic15	360,28
C₆.₃Dic₁₅ = C₆₀.S₃	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₆	360		C6.3Dic15	360,37
C₆.₄Dic₁₅ = C₃×C₁₅⋊₃C₈	central extension (φ=1)	120	2	C6.4Dic15	360,35

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