Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
268 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 43 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 |
|---|---|---|
| 2. #14561581 | C2 | semidirect |
| 3. C19×#1325 | C2 | semidirect |
| 20. #10597320 | C8 | semidirect |
| 82. #1325 | D19 | semidirect |
| 127. C19 | #7354 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564440 | 2 |
| #14561581 | 2 |
| C19×#1325 | 2 |
| #7354 | 19 |