Finite Group Databasebeta

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#29608485

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1246 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,61|a^2=h,b^2=ef,c^2=fg,d^2=ef,b^a=be,c^a=cf,d^a=def,i^a=i^60,c^b=cg,d^b=de

Conjugacy classes & character table

1744 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 98040);