Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
454 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14572011 | C2 | semidirect |
| 4. #14561494 | C2 | semidirect |
| 5. #14561493 | C2 | semidirect |
| 6. #14561467 | C2 | semidirect |
| 25. C19×C4⋊Q8 | Q8 | semidirect |
| 26. C19×#127 | Q8 | semidirect |
| 198. C4⋊Q8 | Dic38 | semidirect |
| 199. #127 | Dic38 | semidirect |
| 228. C19 | #10362 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572011 | 2 |
| #14564464 | 2 |
| #14562195 | 2 |
| #14561494 | 2 |
| #14561493 | 2 |
| #14561467 | 2 |
| C19×#1517 | 2 |
| #10362 | 19 |