Finite Group Databasebeta

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#36324269

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

216 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,167|a^2=f,b^2=eg,c^2=d,d^2=g,e^2=g,b^a=bd,c^a=ce,d^a=dg,e^a=eg,h^a=h^166

Conjugacy classes & character table

5356 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21376, 4641);