Finite Group Databasebeta

?

← Prev (#87242) Next (#87244) →

C₂²×Q₈×Dic₃ #87243

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

1664 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 19 points:

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

Conjugacy classes & character table

120 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 19819);