Finite Group Databasebeta

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#11772170

• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

98 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,3^2|a^2=d,b^2=c,c^2=e,d^2=f,f^2=g,b^a=bc,c^a=ce,h^a=h^2i,i^a=h,h^d=h^2i^2,i^d=h^2i,h^f=h^2,i^f=i^2

Conjugacy classes & character table

72 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 6181);