Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
498 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 131 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. #14564464 | C2 | semidirect |
| 2. #14563380 | C2 | semidirect |
| 3. #14562394 | C2 | semidirect |
| 4. #14562086 | C2 | semidirect |
| 14. C19×#500 | C4 | semidirect |
| 15. C19×#493 | C4 | semidirect |
| 16. C19×#486 | C4 | semidirect |
| 73. C4×Dic19 | D8 | semidirect |
| 128. #500 | Dic19 | semidirect |
| 129. #493 | Dic19 | semidirect |
| 130. #486 | Dic19 | semidirect |
| 172. C19 | #9847 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564464 | 2 |
| #14563380 | 2 |
| #14562394 | 2 |
| #14562086 | 2 |
| C19×#3169 | 2 |
| #9847 | 19 |