Finite Group DatabasebetaFinite Group Databasebeta| order | 28899 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting, socle, derived, Hall | C132×C19 ⋊ C32 |
| Sylow | C132 ⋊ C3×C19⋊C3 |
| Sylow | C19 ⋊ C13⋊C32 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C132×C19 | C32 |
| LCS | G ▷ C132×C19 | |
| UCS | C1 | |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 741 |
Polycyclic presentation:
3^2,13^2,19|c^a=c^3,e^a=e^11,c^b=c^3,d^b=d^9403 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28899, 35);