Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
554 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 554 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. #14575018 | C2 | semidirect |
| 3. #14564613 | C2 | semidirect |
| 4. #14564464 | C2 | semidirect |
| 5. #14564462 | C2 | semidirect |
| 6. C19⋊#1309 | C2 | semidirect |
| 7. C19×#3254 | C2 | semidirect |
| 190. #3254 | D19 | semidirect |
| 302. C19 | #10301 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14575018 | 2 |
| #14575013 | 2 |
| #14564613 | 2 |
| #14564464 | 2 |
| #14564462 | 2 |
| C19⋊#1309 | 2 |
| C19×#3254 | 2 |
| #10301 | 19 |