Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
504 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14564963 | C2 | semidirect |
| 3. #14564734 | C2 | semidirect |
| 4. #14561461 | C2 | semidirect |
| 5. #14561458 | C2 | semidirect |
| 71. C2×D4×C19 | Q16 | semidirect |
| 269. C19 | #7756 | semidirect |
| 284. C2×D4 | #64528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564963 | 2 |
| #14564771 | 2 |
| #14564734 | 2 |
| #14561461 | 2 |
| #14561458 | 2 |
| #14561456 | 2 |
| C19×#2732 | 2 |
| #7756 | 19 |