Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
950 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 950 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14574555 | C2 | semidirect |
| 2. #14574553 | C2 | semidirect |
| 3. #14572029 | C2 | semidirect |
| 4. #14564462 | C2 | semidirect |
| 5. #14562304 | C2 | semidirect |
| 6. #14561467 | C2 | semidirect |
| 7. C19×#1545 | C2 | semidirect |
| 59. #10597320 | D4 | semidirect |
| 62. #10597315 | D4 | semidirect |
| 65. C19×C4⋊C8 | D4 | semidirect |
| 72. C4⋊(C19⋊C8) | D4 | semidirect |
| 126. C4×Dic19 | D8 | semidirect |
| 184. #1545 | D19 | semidirect |
| 275. C4⋊C8 | C22⋊D19 | semidirect |
| 283. C19 | #10280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574555 | 2 |
| #14574553 | 2 |
| #14572029 | 2 |
| #14564462 | 2 |
| #14562304 | 2 |
| #14561467 | 2 |
| C19×#1545 | 2 |
| #10280 | 19 |