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C₂×#7948 #181140

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

Aliases

Subgroups

1880 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

128 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 88336);