Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1054 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 1054 conjugacy classes of subgroups — too many to draw. Only its 167 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. #14564430 | C2 | semidirect |
| 2. #14563627 | C2 | semidirect |
| 3. #14562312 | C2 | semidirect |
| 4. #14562086 | C2 | semidirect |
| 6. #11926568 | C22 | semidirect |
| 7. C2×C4⋊(C19⋊C8) | C22 | semidirect |
| 10. C2×C4×C19⋊C8 | C22 | semidirect |
| 255. C19 | #8353 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564430 | 2 |
| #14563627 | 2 |
| #14562312 | 2 |
| #14562086 | 2 |
| C19×#3496 | 2 |
| #8353 | 19 |