Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
488 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 95 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14574776 | C2 | semidirect |
| 4. #14564454 | C2 | semidirect |
| 6. #14561479 | C2 | semidirect |
| 7. C19×#1518 | C2 | semidirect |
| 161. #1518 | D19 | semidirect |
| 257. C19 | #10226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574776 | 2 |
| #14574758 | 2 |
| #14573983 | 2 |
| #14564454 | 2 |
| #14562194 | 2 |
| #14561479 | 2 |
| C19×#1518 | 2 |
| #10226 | 19 |