Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
476 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14572575 | C2 | semidirect |
| 4. #14562290 | C2 | semidirect |
| 6. #14561531 | C2 | semidirect |
| 7. C19×#1281 | C2 | semidirect |
| 94. C2×C8×C19 | SD16 | semidirect |
| 166. #1281 | D19 | semidirect |
| 259. C19 | #9050 | semidirect |
| 290. C2×C8 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573644 | 2 |
| #14572575 | 2 |
| #14564433 | 2 |
| #14562290 | 2 |
| #14562061 | 2 |
| #14561531 | 2 |
| C19×#1281 | 2 |
| #9050 | 19 |