Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
498 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14564554 | C2 | semidirect |
| 3. C4×#10597274 | C2 | semidirect |
| 4. #14562131 | C2 | semidirect |
| 5. C19×#1451 | C2 | semidirect |
| 7. #11926949 | C4 | semidirect |
| 8. #11926921 | C4 | semidirect |
| 9. #11926891 | C4 | semidirect |
| 120. C8×C19 | #104 | semidirect |
| 125. #1451 | D19 | semidirect |
| 197. C19 | #9721 | semidirect |
| 261. C8 | #10597282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574214 | 2 |
| #14564554 | 2 |
| C4×#10597274 | 2 |
| #14562131 | 2 |
| C19×#1451 | 2 |
| #9721 | 19 |