Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
560 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14572663 | C2 | semidirect |
| 3. C4×#10597280 | C2 | semidirect |
| 4. #14562233 | C2 | semidirect |
| 5. #14561501 | C2 | semidirect |
| 6. #14561500 | C2 | semidirect |
| 7. C19×#1527 | C2 | semidirect |
| 63. C19×#97 | D4 | semidirect |
| 77. #10597260 | D4 | semidirect |
| 202. #1527 | D19 | semidirect |
| 308. #97 | C22⋊D19 | semidirect |
| 317. C19 | #9187 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572663 | 2 |
| #14569488 | 2 |
| C4×#10597280 | 2 |
| #14562233 | 2 |
| #14561501 | 2 |
| #14561500 | 2 |
| C19×#1527 | 2 |
| #9187 | 19 |