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C₂×#9277 #198710

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

Aliases

Subgroups

1842 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

86 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 105906);