Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
658 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 658 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14573107 | C2 | semidirect |
| 3. #14562303 | C2 | semidirect |
| 4. #14562129 | C2 | semidirect |
| 5. #14562030 | C2 | semidirect |
| 6. #14561538 | C2 | semidirect |
| 7. C19×#2548 | C2 | semidirect |
| 85. C2×Q8×C19 | D8 | semidirect |
| 197. #2548 | D19 | semidirect |
| 305. C19 | #10242 | semidirect |
| 317. C2×Q8 | #64525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574553 | 2 |
| #14573107 | 2 |
| #14562303 | 2 |
| #14562129 | 2 |
| #14562030 | 2 |
| #14561538 | 2 |
| C19×#2548 | 2 |
| #10242 | 19 |