Finite Group Databasebeta

?

← Prev (#63256) Next (#63258) →

C₂²×Dic₁₇ #63257

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

54 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 25 points:

(1,2)(3,4)(5,6,7,8)(10,11)(12,13)(14,15)(16,17)(18,19)(20,21)(22,23)(24,25);(3,4)(9,10,12,14,16,18,20,22,24,25,23,21,19,17,15,13,11);(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(272, 44);