Finite Group Databasebeta

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#28325807

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

1164 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,53|a^2=g,b^2=g,g^2=h,b^a=be,c^a=cf,d^a=dh,i^a=i^23,c^b=ch,d^b=deh,i^b=i^30,d^c=dh,i^c=i^52,i^d=i^52,i^g=i^52

Conjugacy classes & character table

362 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1111283);