Finite Group Databasebeta

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#17970056

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

1738 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,17|a^2=g,b^2=eg,d^2=h,g^2=h,b^a=be,c^a=cf,e^a=eh,i^a=i^4,e^b=eh,g^b=gh,i^b=i^13,d^c=dh,i^c=i^16,i^g=i^16

Conjugacy classes & character table

170 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1105300);