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C₂×#13239 #495210

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

Aliases

Subgroups

1346 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 402406);