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C₂×#13190 #495082

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

Aliases

Subgroups

1446 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

176 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 402278);