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C₂×#6410 #89998

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 25 points:

(3,4,6,8,9,7,5)(10,12,14,20)(11,15,17,18)(13,21,22,19)(16,24,25,23);(4,5)(6,7)(8,9)(10,11,13,16,14,17,22,25)(12,18,19,24,20,15,21,23);(1,2)

Conjugacy classes & character table

82 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(448, 760);