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C₂×Q₈×D₁₃ #88252

• supersolvable
• metabelian
• solvable
• monomial
• ambivalent

Aliases

Splittings

Subgroups

156 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 23 points:

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

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(416, 219);