Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
398 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14569284 | C2 | semidirect |
| 5. #14561529 | C2 | semidirect |
| 6. #14561492 | C2 | semidirect |
| 7. C19×#1288 | C2 | semidirect |
| 41. #10597320 | Q8 | semidirect |
| 44. #10597315 | Q8 | semidirect |
| 160. #1288 | D19 | semidirect |
| 248. C19 | #10378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14569284 | 2 |
| #14564554 | 2 |
| #14562181 | 2 |
| #14562144 | 2 |
| #14561529 | 2 |
| #14561492 | 2 |
| C19×#1288 | 2 |
| #10378 | 19 |