Finite Group Databasebeta

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#28298868

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

106 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,53|a^2=c,b^2=d,c^2=e,d^2=f,e^2=h,f^2=g,g^2=h,b^a=be,d^a=dh,i^a=i^52,c^b=ch,i^b=i^30,i^d=i^52

Conjugacy classes & character table

920 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1084344);