Finite Group Databasebeta

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#43252715

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

80 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,223|a^2=c,b^2=d,c^2=e,d^2=f,e^2=g,b^a=be,d^a=dg,h^a=h^222,c^b=cg,h^b=h^222

Conjugacy classes & character table

4484 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28544, 2432);