Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
538 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 538 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 |
|---|---|---|
| 2. #14563734 | C2 | semidirect |
| 3. #14563712 | C2 | semidirect |
| 5. #14561544 | C2 | semidirect |
| 6. #14561489 | C2 | semidirect |
| 26. C19×#481 | C4 | semidirect |
| 27. C19×#480 | C4 | semidirect |
| 44. C2×C4⋊C4×C19 | C2×C4 | semidirect |
| 45. C2×C4⋊C4×C19 | C2×C4 | semidirect |
| 67. C19×C22⋊C8 | C2×C4 | semidirect |
| 234. #481 | Dic19 | semidirect |
| 235. #480 | Dic19 | semidirect |
| 277. C2×C4⋊C4 | C2×Dic19 | semidirect |
| 278. C2×C4⋊C4 | C2×Dic19 | semidirect |
| 300. C22⋊C8 | C2×Dic19 | semidirect |
| 308. C19 | #9525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566402 | 2 |
| #14563734 | 2 |
| #14563712 | 2 |
| #14562164 | 2 |
| #14561544 | 2 |
| #14561489 | 2 |
| C19×#3094 | 2 |
| #9525 | 19 |