Finite Group Databasebeta

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#33114741

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1038 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,73|a^2=f,c^2=e,d^2=h,g^2=h,b^a=be,c^a=cf,i^a=i^72,c^b=cg,g^b=gh,g^c=gh

Conjugacy classes & character table

2080 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 198325);