Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
538 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 538 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 |
|---|---|---|
| 3. #14563735 | C2 | semidirect |
| 4. #14563710 | C2 | semidirect |
| 6. #14561544 | C2 | semidirect |
| 7. C19×#1284 | C2 | semidirect |
| 11. #11926863 | C4 | semidirect |
| 12. #11926858 | C4 | semidirect |
| 55. C2×C4⋊Dic19 | C2×C4 | semidirect |
| 56. C2×C4⋊Dic19 | C2×C4 | semidirect |
| 63. C19×C22⋊C8 | C2×C4 | semidirect |
| 198. #1284 | D19 | semidirect |
| 300. C22⋊C8 | C4×D19 | semidirect |
| 308. C19 | #9525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573576 | 2 |
| #14566400 | 2 |
| #14563735 | 2 |
| #14563710 | 2 |
| #14562163 | 2 |
| #14561544 | 2 |
| C19×#1284 | 2 |
| #9525 | 19 |