Finite Group DatabasebetaFinite Group Databasebeta| order | 24684 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C17 · Schur multiplier (H2) = C1 |
| direct product | C17×#13089712 |
| derived, Hall | C112⋊C3 ⋊ C4×C17 |
| Hall | C17×C112⋊C3 ⋊ C4 |
| Hall | C112×C17 ⋊ Dic3 |
| Sylow | C112 ⋊ Dic3×C17 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2244 |
1292 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24684, 30);