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C₂×D₅×Q₁₆ #66097

• supersolvable
• metabelian
• solvable
• monomial
• ambivalent

Aliases

Splittings

Subgroups

258 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

56 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 1435);