Finite Group Databasebeta

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#34345425

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

946 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,79|a^2=f,b^2=h,c^2=fh,d^2=h,e^2=h,b^a=be,c^a=cf,d^a=de,e^a=eh,c^b=cg,e^b=eh,i^c=i^78,e^d=eh

Conjugacy classes & character table

2236 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 226724);