Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
490 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 490 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 |
|---|---|---|
| 2. #14573766 | C2 | semidirect |
| 4. #14564574 | C2 | semidirect |
| 5. #14562251 | C2 | semidirect |
| 7. C19×#1290 | C2 | semidirect |
| 176. #1290 | D19 | semidirect |
| 275. C19 | #10029 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574952 | 2 |
| #14573766 | 2 |
| #14573758 | 2 |
| #14564574 | 2 |
| #14562251 | 2 |
| #14562247 | 2 |
| C19×#1290 | 2 |
| #10029 | 19 |