Finite Group Databasebeta

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#33115900

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

810 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

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, 199484);