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C₂×#14141 #514579

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

Aliases

Subgroups

6362 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 18 points:

(1,2);(4,5)(11,12,14,13)(15,16,17,18);(3,4,6,5)(8,10)(15,16,17,18);(3,4,6,5)(7,8)(9,10)(11,13,14,12)(15,16)(17,18);(3,5,6,4)

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, 421775);