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C₂×#1773 #20443

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

Aliases

Subgroups

531 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 22 points:

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

Conjugacy classes & character table

88 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 13431);