Finite Group Databasebeta

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#11800509

• solvable
• monomial
• stem
• ambivalent

Aliases

No aliases for this group.

Splittings

Subgroups

218 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,3^2|d^2=ef,e^2=fg,f^2=g,b^a=bd,d^a=de,e^a=ef,f^a=fg,i^a=hi^2,d^b=de,e^b=ef,f^b=fg,h^b=hi,i^b=i^2,h^c=h^2,i^c=i^2,h^d=h^2,i^d=i^2

Conjugacy classes & character table

60 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 34520);