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C₂×#9952 #235038

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

Aliases

Subgroups

1978 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

74 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 142234);