Finite Group Databasebeta

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#28497114

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

842 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,59|a^2=g,b^2=eh,c^2=d,d^2=h,f^2=h,g^2=h,b^a=bd,c^a=ce,i^a=i^58,c^b=cf,d^b=dh,f^b=fh,g^b=gh,i^b=i^58,i^c=i^58

Conjugacy classes & character table

1688 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 77993);