Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
582 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14572052 | C2 | semidirect |
| 3. #14562234 | C2 | semidirect |
| 4. #14562232 | C2 | semidirect |
| 5. #14561967 | C2 | semidirect |
| 6. #14561528 | C2 | semidirect |
| 7. C19×#1300 | C2 | semidirect |
| 66. C19×#97 | D4 | semidirect |
| 78. #10597260 | D4 | semidirect |
| 196. #1300 | D19 | semidirect |
| 296. #97 | D76 | semidirect |
| 305. C19 | #9387 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572052 | 2 |
| #14569316 | 2 |
| #14562234 | 2 |
| #14562232 | 2 |
| #14561967 | 2 |
| #14561528 | 2 |
| C19×#1300 | 2 |
| #9387 | 19 |