Finite Group Databasebeta

?

← Prev (#88901) Next (#88903) →

C₂²×#1094 #88902

• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

194 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 17 points:

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

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(432, 549);