Extensions 1→N→G→Q→1 with N=C₃×S₃ and Q=He₃

Direct product G=N×Q with N=C₃×S₃ and Q=He₃

		d	ρ	Label	ID
C₃×S₃×He₃		54		C3xS3xHe3	486,223

Non-split extensions G=N.Q with N=C₃×S₃ and Q=He₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×S₃).₁He₃ = S₃×C₃²⋊C₉	φ: trivial image	54		(C3xS3).1He3	486,95
(C₃×S₃).₂He₃ = S₃×C₃≀C₃	φ: trivial image	18	6	(C3xS3).2He3	486,117
(C₃×S₃).₃He₃ = S₃×He₃.C₃	φ: trivial image	54	6	(C3xS3).3He3	486,120
(C₃×S₃).₄He₃ = S₃×He₃⋊C₃	φ: trivial image	54	6	(C3xS3).4He3	486,123
(C₃×S₃).₅He₃ = S₃×C₃.He₃	φ: trivial image	54	6	(C3xS3).5He3	486,124

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁