Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
576 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14566792 | C2 | semidirect |
| 2. #14564472 | C2 | semidirect |
| 3. #14562164 | C2 | semidirect |
| 4. #14562151 | C2 | semidirect |
| 5. #14561542 | C2 | semidirect |
| 6. #14561489 | C2 | semidirect |
| 26. C19×#481 | C4 | semidirect |
| 29. C19×#447 | C4 | semidirect |
| 33. C22×D4×C19 | C2×C4 | semidirect |
| 47. C2×C4⋊C4×C19 | C2×C4 | semidirect |
| 67. C19×C22⋊C8 | C2×C4 | semidirect |
| 250. #481 | Dic19 | semidirect |
| 253. #447 | Dic19 | semidirect |
| 281. C22×D4 | C2×Dic19 | semidirect |
| 298. C2×C4⋊C4 | C2×Dic19 | semidirect |
| 319. C22⋊C8 | C2×Dic19 | semidirect |
| 327. C19 | #9343 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566792 | 2 |
| #14564472 | 2 |
| #14562164 | 2 |
| #14562151 | 2 |
| #14561542 | 2 |
| #14561489 | 2 |
| C19×#3192 | 2 |
| #9343 | 19 |