Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
492 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 276. C19 | #9979 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574407 | 2 |
| #14573583 | 2 |
| #14563706 | 2 |
| #14562000 | 2 |
| #14561999 | 2 |
| #14561511 | 2 |
| C19×#3095 | 2 |
| #9979 | 19 |