Finite Group Databasebeta

?

← Prev (#60895) Next (#60897) →

C₂×#3247 #60896

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

Aliases

Subgroups

1105 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 18 points:

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

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(256, 53884);