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C₄×#875 #73302

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

652 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 19 points:

(1,2,3)(8,10,11,9)(13,17)(16,19);(8,9,11,10)(12,14,15,18)(13,16,17,19);(2,3)(9,10)(12,13)(14,16)(15,17)(18,19);(4,5,6,7)

Conjugacy classes & character table

120 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 5878);