Finite Group Databasebeta

?

← Prev (#20992) Next (#20994) →

C₂×#1902 #20993

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

Aliases

Subgroups

827 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 34 points:

(1,2);(3,4)(5,14)(6,18,21,28)(7,22)(8,12)(9,13)(10,16)(11,20,27,19)(15,30,32,24)(17,25)(23,26)(29,31,34,33);(3,5,7,16,9,17,8,23)(4,10,12,14,13,26,22,25)(6,15,20,33,21,32,19,31)(11,24,28,29,27,30,18,34);(3,6)(4,11)(5,15)(7,20)(8,19)(9,21)(10,24)(12,28)(13,27)(14,29)(16,33)(17,32)(18,22)(23,31)(25,34)(26,30)

Conjugacy classes & character table

58 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 13981);