Finite Group Databasebeta

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#26102816

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

430 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,47|a^2=d,b^2=e,c^2=fg,d^2=h,e^2=fg,b^a=bc,c^a=cf,e^a=efg,i^a=i^46,d^b=dg

Conjugacy classes & character table

1904 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 56106);