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C₂×#12063 #483579

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

Aliases

Subgroups

562 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

152 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 390775);