Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
912 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 912 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. #14574578 | C2 | semidirect |
| 2. #14574576 | C2 | semidirect |
| 4. #14564611 | C2 | semidirect |
| 5. #14562304 | C2 | semidirect |
| 6. #14561467 | C2 | semidirect |
| 7. C19×#1545 | C2 | semidirect |
| 59. #10597315 | D4 | semidirect |
| 60. #10597315 | D4 | semidirect |
| 65. C19×C4⋊C8 | D4 | semidirect |
| 71. C4⋊(C19⋊C8) | D4 | semidirect |
| 123. C4×Dic19 | SD16 | semidirect |
| 176. #1545 | D19 | semidirect |
| 264. C4⋊C8 | C22⋊D19 | semidirect |
| 271. C19 | #10290 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574578 | 2 |
| #14574576 | 2 |
| #14572029 | 2 |
| #14564611 | 2 |
| #14562304 | 2 |
| #14561467 | 2 |
| C19×#1545 | 2 |
| #10290 | 19 |