Finite Group DatabasebetaFinite Group Databasebeta| order | 35836 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C17 · Schur multiplier (H2) = C1 |
| direct product | C17×C31⋊#595 |
| unambiguous semidirect product | C31⋊(C17×#595) |
| Fitting, socle, Hall | C172×C31 ⋊ C4 |
| derived | C17×C31 ⋊ C4×C17 |
| Sylow | C172 ⋊ Dic31 |
| Sylow | C31 ⋊ C17×#595 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C17 | C31⋊#595 |
| commutator, hypocenter | C17×C31 | C4×C17 |
| Frattini | C1 | G |
| Fitting, socle | C172×C31 | C4 |
| prime radical | C17×C31×D17 | C2 |
| cosocle | C31×D17 | C2×C17 |
| LCS | G ▷ C17×C31 | |
| UCS | C1 ◁ C17 | |
32 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2108 |
2686 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35836, 21);