Finite Group DatabasebetaFinite Group Databasebeta| order | 36957 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C97 · Schur multiplier (H2) = C1 |
| direct product | C97×C127⋊C3 |
| unambiguous semidirect product | C127⋊(C3×C97) |
| Fitting, socle, Hall | C97×C127 ⋊ C3 |
| derived, Sylow | C127 ⋊ C3×C97 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C97 | C127⋊C3 |
| commutator, cosocle, hypocenter | C127 | C3×C97 |
| Frattini | C1 | G |
| Fitting, socle | C97×C127 | C3 |
| LCS | G ▷ C127 | |
| UCS | C1 ◁ C97 | |
8 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12319 |
4365 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36957, 2);