Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
376 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 105 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. C4×C4⋊(C19⋊C8) | C2 | semidirect |
| 3. #14562410 | C2 | semidirect |
| 6. #14561531 | C2 | semidirect |
| 7. C19×#1276 | C2 | semidirect |
| 17. #11926289 | C4 | semidirect |
| 18. #11926287 | C4 | semidirect |
| 137. #1276 | D19 | semidirect |
| 209. C19 | #9577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564463 | 2 |
| C4×C4⋊(C19⋊C8) | 2 |
| #14562410 | 2 |
| #14562282 | 2 |
| #14562035 | 2 |
| #14561531 | 2 |
| C19×#1276 | 2 |
| #9577 | 19 |