Extensions 1→N→G→Q→1 with N=C₆ and Q=He₃

Direct product G=N×Q with N=C₆ and Q=He₃

		d	ρ	Label	ID
C₆×He₃		54		C6xHe3	162,48

Non-split extensions G=N.Q with N=C₆ and Q=He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁He₃ = C₂×C₃²⋊C₉	central extension (φ=1)	54		C6.1He3	162,24
C₆.₂He₃ = C₂×C₃≀C₃	central extension (φ=1)	18	3	C6.2He3	162,28
C₆.₃He₃ = C₂×He₃.C₃	central extension (φ=1)	54	3	C6.3He3	162,29
C₆.₄He₃ = C₂×He₃⋊C₃	central extension (φ=1)	54	3	C6.4He3	162,30
C₆.₅He₃ = C₂×C₃.He₃	central extension (φ=1)	54	3	C6.5He3	162,31

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