Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
602 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 602 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 |
|---|---|---|
| 1. #14573667 | C2 | semidirect |
| 3. #14568994 | C2 | semidirect |
| 4. #14562194 | C2 | semidirect |
| 5. #14562063 | C2 | semidirect |
| 6. #14562027 | C2 | semidirect |
| 7. C19×#1286 | C2 | semidirect |
| 105. C2×D76 | SD16 | semidirect |
| 206. #1286 | D19 | semidirect |
| 316. C19 | #9998 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573667 | 2 |
| #14573101 | 2 |
| #14568994 | 2 |
| #14562194 | 2 |
| #14562063 | 2 |
| #14562027 | 2 |
| C19×#1286 | 2 |
| #9998 | 19 |