Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
438 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. #14564624 | C2 | semidirect |
| 4. #14562306 | C2 | semidirect |
| 6. C19⋊#1309 | C2 | semidirect |
| 7. C19×#1299 | C2 | semidirect |
| 164. #1299 | D19 | semidirect |
| 255. C19 | #9356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573451 | 2 |
| #14572764 | 2 |
| #14564624 | 2 |
| #14562306 | 2 |
| #14562075 | 2 |
| C19⋊#1309 | 2 |
| C19×#1299 | 2 |
| #9356 | 19 |