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. #14574441 | C2 | semidirect |
| 2. #14567282 | C2 | semidirect |
| 3. #14563556 | C2 | semidirect |
| 4. #14562154 | C2 | semidirect |
| 5. #14562151 | C2 | semidirect |
| 6. #14561521 | C2 | semidirect |
| 43. C22×Dic38 | D4 | semidirect |
| 61. C2×C4⋊Dic19 | D4 | semidirect |
| 69. C2×#64520 | D4 | semidirect |
| 73. C19⋊#95 | D4 | semidirect |
| 327. C19 | #10329 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574441 | 2 |
| #14567282 | 2 |
| #14563556 | 2 |
| #14562154 | 2 |
| #14562151 | 2 |
| #14561521 | 2 |
| C19×#2433 | 2 |
| #10329 | 19 |