Finite Group Databasebeta

?

← Prev (#62765) Next (#62767) →

C₂×#3490 #62766

• p-group
• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

4751 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 6 generators on 18 points:

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

Conjugacy classes & character table

88 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 55754);