Finite Group Databasebeta

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#13104396

• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

144 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^6,5^2|a^2=d,b^2=d,c^2=e,e^2=f,b^a=bdf,g^a=gh,h^a=g^3h^4,c^b=ce,e^b=ef,g^b=g^3h^3,h^b=h^2,g^d=g^4,h^d=h^4

Conjugacy classes & character table

46 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1600, 6748);