Finite Group DatabasebetaFinite Group Databasebeta| order | 23100 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C7×C11 · Schur multiplier (H2) = C5 |
| direct product | C3×C7×C11×#1039 |
| derived, Sylow | C52 ⋊ C3×C4×C7×C11 |
| Hall | C3×C52×C7×C11 ⋊ C4 |
| Hall | C52×C7×C11 ⋊ C3×C4 |
| Hall | C3×C52×C11 ⋊ C4×C7 |
| Hall | C3×C52×C7 ⋊ C4×C11 |
| Hall | C52×C11 ⋊ C3×C4×C7 |
| Hall | C52×C7 ⋊ C3×C4×C11 |
| Hall | C3×C52 ⋊ C4×C7×C11 |
192 conjugacy classes of subgroups.
| transitive degree | μt(G) = 23100 |
6468 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23100, 211);