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C₂×#7925 #181077

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

Aliases

Subgroups

3106 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 88273);