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C₂×#9607 #203708

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

Aliases

Subgroups

728 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 110904);