Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1044 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 1044 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. #14567287 | C2 | semidirect |
| 3. #14563555 | C2 | semidirect |
| 4. #14562155 | C2 | semidirect |
| 5. #14562151 | C2 | semidirect |
| 6. #14561520 | C2 | semidirect |
| 7. C19×#3193 | C2 | semidirect |
| 32. C22×Q8×C19 | D4 | semidirect |
| 45. C2×M16×C19 | D4 | semidirect |
| 56. C2×C4⋊C4×C19 | D4 | semidirect |
| 76. C19⋊#95 | D4 | semidirect |
| 207. #3193 | D19 | semidirect |
| 279. C22×Q8 | C22⋊D19 | semidirect |
| 293. C2×M16 | C22⋊D19 | semidirect |
| 307. C2×C4⋊C4 | C22⋊D19 | semidirect |
| 327. C19 | #10329 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14567287 | 2 |
| #14567273 | 2 |
| #14563555 | 2 |
| #14562155 | 2 |
| #14562151 | 2 |
| #14561520 | 2 |
| C19×#3193 | 2 |
| #10329 | 19 |