Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
738 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 135 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. #14563571 | C2 | semidirect |
| 4. #14561503 | C2 | semidirect |
| 10. #11926464 | C4 | semidirect |
| 11. #11926456 | C4 | semidirect |
| 111. C23×C19 | #103 | semidirect |
| 131. C2×C4×C19 | #103 | semidirect |
| 241. C19 | #9467 | semidirect |
| 294. C23 | #10597273 | semidirect |
| 328. C2×C4 | #10597273 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14567000 | 2 |
| #14563623 | 2 |
| #14563571 | 2 |
| #14561503 | 2 |
| C19×#2972 | 2 |
| #9467 | 19 |