Finite Group DatabasebetaFinite Group Databasebeta| order | 11790 |
| isoclinism | isoclinic class of D131 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C9 · Schur multiplier (H2) = C1 |
| direct product | C5×C9×D131 |
| Fitting, Hall | C5×C9×C131 ⋊ C2 |
| derived, Sylow | C131 ⋊ C2×C5×C9 |
| Hall | C9×C131 ⋊ C2×C5 |
| Hall | C5×C131 ⋊ C2×C9 |
24 conjugacy classes of subgroups.
3015 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C9×D5×D131, C5×D9×D131, D45×D131, … |
| maximal normal subgroup of | C9×D5×D131, C5×D9×D131, D45×D131, … |
| maximal quotient of | C5×C9×Dic131, C2×C5×C9×D131 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11790, 3);