Finite Group Databasebeta

?

← Prev (#11711473) Next (#11711475) →

#11711474

• solvable
• stem
• ambivalent

Aliases

No aliases for this group.

Subgroups

115 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^5,3,2^3|a^2=e,b^2=cd,c^2=dei,d^2=ei,g^2=i,h^2=i,b^a=bc,c^a=cd,d^a=dei,f^a=f^2,g^a=gh,h^a=hi,g^f=h,h^f=ghi,h^g=hi

Conjugacy classes & character table

65 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(768, 1085855);