Finite Group DatabasebetaFinite Group Databasebeta| order | 35433 |
| automorphism | ? |
| homology | Abelianization (H1) = C9×C31 · Schur multiplier (H2) = C1 |
| direct product | C31×#11765919 |
| Fitting, socle, Hall | C31×C127 ⋊ C9 |
| derived, Sylow | C127 ⋊ C9×C31 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C31 | #11765919 |
| commutator, hypocenter | C127 | C9×C31 |
| Frattini | C1 | G |
| Fitting, socle | C31×C127 | C9 |
| prime radical | C31×C127⋊C3 | C3 |
| cosocle | C127⋊C3 | C3×C31 |
| LCS | G ▷ C127 | |
| UCS | C1 ◁ C31 | |
12 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3937 |
713 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35433, 7);