Finite Group DatabasebetaFinite Group Databasebeta| order | 21204 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C1 |
| direct product | C4×#19127105 |
| Fitting, Hall | C4×C19×C31 ⋊ C9 |
| derived, Hall | C19×C31 ⋊ C4×C9 |
| Hall | C4×C31 ⋊ #4296 |
| Hall | C4×C19 ⋊ C31⋊C9 |
| Sylow | C31 ⋊ C4×#4296 |
| Sylow | C19 ⋊ C4×C31⋊C9 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2356 |
404 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21204, 79);