Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
528 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14563383 | C2 | semidirect |
| 4. #14561516 | C2 | semidirect |
| 5. C19×#1295 | C2 | semidirect |
| 17. #11926283 | C4 | semidirect |
| 43. C19×#97 | C2×C4 | semidirect |
| 47. #10597260 | C2×C4 | semidirect |
| 128. #1295 | D19 | semidirect |
| 194. #97 | C4×D19 | semidirect |
| 197. C19 | #8224 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566174 | 2 |
| #14563383 | 2 |
| C2×#11926283 | 2 |
| #14561516 | 2 |
| C19×#1295 | 2 |
| #8224 | 19 |