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C₂×#13149 #494905

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

Aliases

Subgroups

978 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 402101);