Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
894 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 894 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14568794 | C2 | semidirect |
| 3. #14563579 | C2 | semidirect |
| 4. #14562168 | C2 | semidirect |
| 5. #14561961 | C2 | semidirect |
| 6. #14561489 | C2 | semidirect |
| 7. C19×#3007 | C2 | semidirect |
| 40. C22×Q8×C19 | D4 | semidirect |
| 56. C2×C4⋊C4×C19 | D4 | semidirect |
| 71. C2×C4×Dic19 | D4 | semidirect |
| 76. C19×C22⋊C8 | D4 | semidirect |
| 231. #3007 | D19 | semidirect |
| 313. C22×Q8 | C22⋊D19 | semidirect |
| 331. C2×C4⋊C4 | C22⋊D19 | semidirect |
| 352. C22⋊C8 | C22⋊D19 | semidirect |
| 359. C19 | #9942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14568794 | 2 |
| #14566950 | 2 |
| #14563579 | 2 |
| #14562168 | 2 |
| #14561961 | 2 |
| #14561489 | 2 |
| C19×#3007 | 2 |
| #9942 | 19 |