Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1226 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 1226 conjugacy classes of subgroups — too many to draw. Only its 179 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. #14561521 | C2 | semidirect |
| 4. #14561520 | C2 | semidirect |
| 5. C19×#1297 | C2 | semidirect |
| 7. C2×M16×D19 | C4 | semidirect |
| 11. #11926507 | C4 | semidirect |
| 17. #11926391 | C4 | semidirect |
| 18. #95×D19 | C4 | semidirect |
| 34. C2×M16×C19 | C2×C4 | semidirect |
| 41. C2×#64520 | C2×C4 | semidirect |
| 48. C19×#95 | C2×C4 | semidirect |
| 50. C19⋊#95 | C2×C4 | semidirect |
| 161. #1297 | D19 | direct (N × H) |
| 209. D19 | #1297 | direct (N × H) |
| 226. C2×M16 | C4×D19 | semidirect |
| 241. #95 | C4×D19 | semidirect |
| 242. C19 | C2×#1297 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D19×#407 | 2 |
| C4×C22⋊C4×D19 | 2 |
| #14561521 | 2 |
| #14561520 | 2 |
| C19×#1297 | 2 |
| C2×#1297 | 19 |