Finite Group DatabasebetaFinite Group Databasebeta| order | 16758 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9 · Schur multiplier (H2) = C1 |
| direct product | C2×#22552692 |
| derived, Hall | C19×C49 ⋊ C2×C9 |
| Hall | C2×C19×C49 ⋊ C9 |
| Hall | C2×C49 ⋊ #4294 |
| Sylow | C49 ⋊ C2×#4294 |
| Hall | C2×C19 ⋊ C49⋊C9 |
| Sylow | C19 ⋊ C2×C49⋊C9 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16758 |
1878 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45691208, #45691212, #45691214, … |
| maximal normal subgroup of | #45691208, #45691212, #45691214, … |
| maximal quotient of | C4×#22552692, C22×#22552692 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16758, 16);