Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
554 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 139 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. #14564463 | C2 | semidirect |
| 3. #14562394 | C2 | semidirect |
| 4. #14562087 | C2 | semidirect |
| 5. C42×C8×C19 | C2 | semidirect |
| 7. #11926949 | C4 | semidirect |
| 8. #11926921 | C4 | semidirect |
| 9. #11926891 | C4 | semidirect |
| 67. C42×C19 | D8 | semidirect |
| 105. C8×C19 | #104 | semidirect |
| 109. C42×C8 | D19 | semidirect |
| 174. C19 | #9844 | semidirect |
| 202. C42 | D152 | semidirect |
| 233. C8 | #10597262 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574214 | 2 |
| #14564463 | 2 |
| #14562394 | 2 |
| #14562087 | 2 |
| C42×C8×C19 | 2 |
| #9844 | 19 |