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C₂×#9097 #196176

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

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 103372);