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C₂×#13278 #495361

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

Aliases

Subgroups

916 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 26 points:

(1,2);(3,4)(5,9)(6,7)(8,10)(11,12,14,18,15,19,24,25,16,20,13,21,23,26,22,17);(4,7)(8,9)(12,17,20,25)(13,22)(14,24)(15,23)(18,19,21,26);(3,5,6,10)(4,8,7,9)

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 402557);