Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
532 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 153 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 |
|---|---|---|
| 15. #11926286 | C4 | semidirect |
| 18. C19×#330 | C4 | semidirect |
| 113. Dic19 | #330 | direct (N × H) |
| 126. #330 | Dic19 | direct (N × H) |
| 156. C19 | C4×#330 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #125×Dic19 | 2 |
| #97×Dic19 | 2 |
| C2×#11926286 | 2 |
| #14561517 | 2 |
| C2×C19×#330 | 2 |
| C4×#330 | 19 |