Finite Group DatabasebetaFinite Group Databasebeta| order | 38100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C127 · Schur multiplier (H2) = C1 |
| direct product | C127×C3⋊#1035 |
| unambiguous semidirect product | C3⋊(#1035×C127) |
| Fitting, Hall | C3×C25×C127 ⋊ C4 |
| derived, Hall | C3×C25 ⋊ C4×C127 |
| Hall | C25×C127 ⋊ Dic3 |
| Hall | C3×C127 ⋊ #1035 |
| Sylow | C25 ⋊ Dic3×C127 |
| Sylow | C3 ⋊ #1035×C127 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9525 |
3048 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38100, 24);