Finite Group Databasebeta

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#11884658

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

1018 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,3^2|a^2=g,b^2=g,c^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^2,i^a=h^2i,d^b=de,e^b=eg,h^b=h^2,i^b=h^2i,i^c=hi^2,e^d=eg,h^d=h^2,i^d=i^2

Conjugacy classes & character table

96 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 118669);