Extensions 1→N→G→Q→1 with N=C₁₅ and Q=He₃

Direct product G=N×Q with N=C₁₅ and Q=He₃

		d	ρ	Label	ID
C₁₅×He₃		135		C15xHe3	405,12

Non-split extensions G=N.Q with N=C₁₅ and Q=He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁He₃ = C₅×C₃²⋊C₉	central extension (φ=1)	135		C15.1He3	405,3
C₁₅.₂He₃ = C₅×C₃≀C₃	central extension (φ=1)	45	3	C15.2He3	405,7
C₁₅.₃He₃ = C₅×He₃.C₃	central extension (φ=1)	135	3	C15.3He3	405,8
C₁₅.₄He₃ = C₅×He₃⋊C₃	central extension (φ=1)	135	3	C15.4He3	405,9
C₁₅.₅He₃ = C₅×C₃.He₃	central extension (φ=1)	135	3	C15.5He3	405,10

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