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C₂×#6403 #89952

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

82 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 41 points:

(3,4,6,8,9,7,5)(10,12,15,23)(11,16,19,33)(13,25,28,41)(14,30,26,22)(17,35,36,40)(18,37,29,32)(20,38,39,24)(21,34,31,27);(4,5)(6,7)(8,9)(10,11,15,19)(12,20,23,39)(13,24,28,38)(14,29,26,18)(16,31,33,21)(17,34,36,27)(22,40,30,35)(25,37,41,32);(1,2)

Conjugacy classes & character table

64 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(448, 714);