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C₂×#10934 #354097

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

Aliases

Subgroups

3066 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 261293);