Finite Group Databasebeta

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#13013249

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

352 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,5|a^2=d,b^2=e,c^2=f,d^2=h,e^2=fg,b^a=bc,c^a=cf,e^a=efg,i^a=i^3,c^b=cg,i^b=i^2,i^d=i^4,i^e=i^4

Conjugacy classes & character table

116 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1280, 1083517);