Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1060 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 1060 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14574383 | C2 | semidirect |
| 2. #14567268 | C2 | semidirect |
| 3. #14564472 | C2 | semidirect |
| 4. #14563566 | C2 | semidirect |
| 5. #14562204 | C2 | semidirect |
| 6. #14561481 | C2 | semidirect |
| 7. C2×C19×#447 | C2 | semidirect |
| 40. C22×D4×C19 | D4 | semidirect |
| 52. C2×C4⋊C4×C19 | D4 | semidirect |
| 69. C22×C19⋊C8 | D4 | semidirect |
| 72. C19×C22⋊C8 | D4 | semidirect |
| 143. C22⋊Dic19 | D8 | semidirect |
| 223. C2×#447 | D19 | semidirect |
| 311. C22×D4 | C22⋊D19 | semidirect |
| 331. C2×C4⋊C4 | C22⋊D19 | semidirect |
| 347. C22⋊C8 | C22⋊D19 | semidirect |
| 350. C19 | #9946 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574383 | 2 |
| #14567268 | 2 |
| #14564472 | 2 |
| #14563566 | 2 |
| #14562204 | 2 |
| #14561481 | 2 |
| C2×C19×#447 | 2 |
| #9946 | 19 |