Finite Group Databasebeta

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#11869112

• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

598 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,3^2|a^2=e,b^2=e,c^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,i^a=hi^2,d^b=dg,f^c=fg,h^c=hi,i^c=i^2,h^f=h^2,i^f=i^2

Conjugacy classes & character table

66 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 103123);