Finite Group Databasebeta

?

← Prev (#90501) Next (#90503) →

C₂×Q₈×Dic₇ #90502

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

298 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 21 points:

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

Conjugacy classes & character table

100 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(448, 1264);