Finite Group DatabasebetaFinite Group Databasebeta| order | 24276 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×#16812392 |
| derived, Hall | C172⋊C3 ⋊ C4×C7 |
| Hall | C7×C172⋊C3 ⋊ C4 |
| Hall | C7×C172 ⋊ Dic3 |
| Sylow | C172 ⋊ C7×Dic3 |
44 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1428 |
1050 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24276, 42);