Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
364 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. #14563773 | C2 | semidirect |
| 3. #14562373 | C2 | semidirect |
| 6. C19⋊#1309 | C2 | semidirect |
| 7. C19×#1493 | C2 | semidirect |
| 144. #1493 | D19 | semidirect |
| 226. C19 | #10533 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14575018 | 2 |
| #14563773 | 2 |
| #14562373 | 2 |
| #14562368 | 2 |
| #14562087 | 2 |
| C19⋊#1309 | 2 |
| C19×#1493 | 2 |
| #10533 | 19 |