Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
480 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14564776 | C2 | semidirect |
| 3. #14564734 | C2 | semidirect |
| 4. #14561461 | C2 | semidirect |
| 5. #14561461 | C2 | semidirect |
| 73. C2×D4×C19 | Q16 | semidirect |
| 265. C19 | #7782 | 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 |
|---|---|
| #14564776 | 2 |
| #14564771 | 2 |
| #14564734 | 2 |
| #14561461 | 2 |
| #14561456 | 2 |
| C19×#2804 | 2 |
| #7782 | 19 |