Finite Group Databasebeta

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#33055602

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

662 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,73|a^2=f,c^2=fg,d^2=g,e^2=g,f^2=h,b^a=be,c^a=ch,d^a=dg,e^a=eg,i^a=i^72,e^b=eg

Conjugacy classes & character table

2944 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 139186);