Finite Group Databasebeta

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#14516143

• supersolvable
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

138 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^3,3^5|a^2=c,b^2=c,e^3=g,g^3=h,b^a=bc,d^a=d^2,e^a=e^2g^2h^2,g^a=g^2h^2,h^a=h^2,e^d=ef,f^d=fh,f^e=fh^2

Conjugacy classes & character table

111 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 537);