Finite Group DatabasebetaFinite Group Databasebeta| order | 11700 |
| isoclinism | isoclinic class of #63121 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C9 · Schur multiplier (H2) = C1 |
| direct product | C5×C9×#63121 |
| Fitting, Hall | C52×C9×C13 ⋊ C4 |
| derived | C5×C13 ⋊ C4×C5×C9 |
| Hall | C52×C13 ⋊ C4×C9 |
| Hall | C52×C9 ⋊ #261 |
| Hall | C9×C13 ⋊ C5×AGL(1,𝔽5) |
| Sylow | C52 ⋊ C9×#261 |
| Sylow | C13 ⋊ C5×C9×AGL(1,𝔽5) |
78 conjugacy classes of subgroups.
900 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11700, 256);