Finite Group DatabasebetaFinite Group Databasebeta| order | 36300 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C52 · Schur multiplier (H2) = C5×C11 |
| direct product | C4×C52×C112⋊C3 |
| Fitting, Hall | C4×C52×C112 ⋊ C3 |
| derived, Sylow | C112 ⋊ C3×C4×C52 |
| Hall | C52×C112 ⋊ C3×C4 |
| Hall | C4×C112 ⋊ C3×C52 |
192 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3300 |
4300 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36300, 443);