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C₂×#9882 #206877

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

Aliases

Subgroups

2018 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)(13,15,17,18)(14,16)(19,20,24,25,23,26,22,21);(4,7)(8,9)(11,13,14,17)(12,15)(16,18)(19,21,22,26,23,25,24,20);(3,5,6,10)(4,8,7,9)(12,16)(15,18)(19,22,23,24)(20,25,26,21)

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, 114073);