Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
622 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 622 conjugacy classes of subgroups — too many to draw. Only its 101 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. #14568540 | C2 | semidirect |
| 3. #14562195 | C2 | semidirect |
| 4. #14562059 | C2 | semidirect |
| 5. #14562030 | C2 | semidirect |
| 6. #14561495 | C2 | semidirect |
| 7. C19×#3037 | C2 | semidirect |
| 97. C2×Q8×C19 | D8 | semidirect |
| 210. #3037 | D19 | semidirect |
| 329. C19 | #9997 | semidirect |
| 341. C2×Q8 | #64525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573631 | 2 |
| #14568540 | 2 |
| #14562195 | 2 |
| #14562059 | 2 |
| #14562030 | 2 |
| #14561495 | 2 |
| C19×#3037 | 2 |
| #9997 | 19 |