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C₂×D₄×D₁₃ #88249

• supersolvable
• metabelian
• solvable
• monomial
• ambivalent

Aliases

Splittings

Subgroups

236 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 19 points:

(1,2)(8,9)(10,11)(12,13)(14,15)(16,17)(18,19);(3,4)(5,6)(7,8,10,12,14,16,18,19,17,15,13,11,9);(4,6);(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, 216);