Finite Group Databasebeta

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#26218804

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1018 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,47|a^2=g,b^2=eg,c^2=e,f^2=h,g^2=h,b^a=be,c^a=cf,d^a=dh,f^a=fh,i^a=i^46,d^b=dh,i^b=i^46,f^c=fh,i^c=i^46

Conjugacy classes & character table

1076 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 172094);