Finite Group Databasebeta

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#37544245

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

348 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,181|a^2=e,b^2=e,c^2=f,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^180,c^b=cg

Conjugacy classes & character table

3632 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23168, 15034);