Finite Group Databasebeta

?

← Prev (#13089898) Next (#13089900) →

C₁₃×#1161 #13089899

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

80 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 28 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13)(14,15,17,19,20,18,16)(21,23,24,27)(22,25,26,28);(21,22,24,26)(23,28,27,25);(15,16)(17,18)(19,20)(23,27)(25,28)

Conjugacy classes & character table

325 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1456, 153);