Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
554 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. #14568997 | C2 | semidirect |
| 5. #14562065 | C2 | semidirect |
| 6. #14561494 | C2 | semidirect |
| 7. C19×#1479 | C2 | semidirect |
| 89. C2×Q8×C19 | SD16 | semidirect |
| 197. #1479 | D19 | semidirect |
| 303. C19 | #9999 | semidirect |
| 317. C2×Q8 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573667 | 2 |
| #14573107 | 2 |
| #14568997 | 2 |
| #14562196 | 2 |
| #14562065 | 2 |
| #14561494 | 2 |
| C19×#1479 | 2 |
| #9999 | 19 |