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C₅×C₂²⋊Dic₅ #87797

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

100 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 18 points:

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

Conjugacy classes & character table

130 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(400, 91);