Finite Group DatabasebetaFinite Group Databasebeta| order | 11700 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C5 |
| direct product | C3×C3⋊#13049918 |
| unambiguous semidirect product | C3⋊(C3×#13049918) |
| derived | C3×C52×C13 ⋊ C3×C4 |
| Hall | C32×C52×C13 ⋊ C4 |
| Hall | C52×C13 ⋊ C3×Dic3 |
| Hall | C32×C52 ⋊ Dic13 |
| Hall | C32×C13 ⋊ #1039 |
| Sylow | C52 ⋊ C3×Dic39 |
| Sylow | C13 ⋊ C3×C3⋊#1039 |
| Sylow | C32 ⋊ #13049918 |
224 conjugacy classes of subgroups.
2934 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11700, 379);