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C₂×C₈×D₁₃ #88153

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

76 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 23 points:

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

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(416, 120);