Finite Group DatabasebetaFinite Group Databasebeta| order | 26100 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C5 |
| direct product | C3×C3⋊#15668515 |
| unambiguous semidirect product | C3⋊(C3×#15668515) |
| derived | C3×C52×C29 ⋊ C3×C4 |
| Hall | C32×C52×C29 ⋊ C4 |
| Hall | C52×C29 ⋊ C3×Dic3 |
| Hall | C32×C29 ⋊ #1039 |
| Hall | C32×C52 ⋊ Dic29 |
| Sylow | C29 ⋊ C3×C3⋊#1039 |
| Sylow | C52 ⋊ C3×Dic87 |
| Sylow | C32 ⋊ #15668515 |
224 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8700 |
6534 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26100, 244);