Finite Group DatabasebetaFinite Group Databasebeta| order | 26100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C1 |
| direct product | C9×#15668503 |
| Fitting, Hall | C9×C25×C29 ⋊ C4 |
| derived, Hall | C25×C29 ⋊ C4×C9 |
| Hall | C9×C29 ⋊ #1035 |
| Hall | C9×C25 ⋊ #1181 |
| Sylow | C29 ⋊ C9×#1035 |
| Sylow | C25 ⋊ C9×#1181 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6525 |
1665 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26100, 12);