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C₂×#7161 #126659

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

Aliases

Subgroups

466 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 38 points:

(1,2);(3,4)(5,6)(7,8,11,17,13,18,28,34,14,19,27,16,12,30,10,26)(9,20,22,31,24,35,21,32,25,33,29,38,23,37,36,15);(4,6)(7,9,10,21,12,23,27,22,14,25,28,36,13,24,11,29)(8,15,16,20,18,31,26,35,19,32,17,33,30,38,34,37)

Conjugacy classes & character table

128 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 33855);