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C₂×#11174 #357892

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

Aliases

Subgroups

4698 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 18 points:

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

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, 265088);