Finite Group Databasebeta

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#13043330

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

1312 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,5|a^2=f,b^2=h,c^2=h,d^2=h,e^2=h,f^2=h,b^a=be,e^a=eg,g^a=gh,i^a=i^2,e^b=eh,f^b=fgh,d^c=dh,i^c=i^4,f^e=fh,i^f=i^4

Conjugacy classes & character table

68 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1280, 1113598);