Finite Group Databasebeta

?

← Prev (#5950) Next (#5952) →

C₂³×Dic₆ #5951

• supersolvable
• metabelian
• solvable
• monomial
• ambivalent

Aliases

Splittings

Subgroups

850 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 17 points:

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

Conjugacy classes & character table

72 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(192, 1510);