Finite Group Databasebeta

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#26103009

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

186 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,47|a^2=d,c^2=fh,d^2=efh,e^2=g,f^2=h,b^a=bc,c^a=ce,e^a=eg,f^a=fg,i^a=i^46,c^b=cf,d^b=defg,e^b=eg,f^b=fh

Conjugacy classes & character table

917 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 56299);