Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
592 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14575013 | C2 | semidirect |
| 2. #14564464 | C2 | semidirect |
| 3. #14564462 | C2 | semidirect |
| 4. C19⋊#1309 | C2 | semidirect |
| 5. C19×#3253 | C2 | semidirect |
| 124. #3253 | D19 | semidirect |
| 196. C19 | #10300 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14575013 | 2 |
| #14564464 | 2 |
| #14564462 | 2 |
| C19⋊#1309 | 2 |
| C19×#3253 | 2 |
| #10300 | 19 |