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C₂×#9093 #196084

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

Aliases

Subgroups

1510 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 103280);