Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
374 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 374 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 |
|---|---|---|
| 45. C19×#97 | Q8 | semidirect |
| 60. #10597260 | Q8 | semidirect |
| 61. #10597260 | Q8 | semidirect |
| 217. #97 | Dic38 | semidirect |
| 228. C19 | #10584 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14571907 | 2 |
| #14563801 | 2 |
| #14563770 | 2 |
| #14561517 | 2 |
| #14561516 | 2 |
| C19×#1836 | 2 |
| #10584 | 19 |