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C₂×#1495 #17476

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

Aliases

Subgroups

533 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

64 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 10464);