Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
320 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 4. #11750781 | C2 | semidirect |
| 5. C3×C5×#335 | C2 | semidirect |
| 6. #11746303 | C2 | semidirect |
| 7. #11746302 | C2 | semidirect |
| 29. C5×#335 | D3 | semidirect |
| 54. C3×#335 | D5 | semidirect |
| 90. C3×C5×C8 | SD16 | semidirect |
| 129. #335 | D15 | semidirect |
| 179. C5×C8 | #204 | semidirect |
| 217. C3×C8 | #677 | semidirect |
| 249. C3×C5 | #1691 | semidirect |
| 284. C8 | #6706 | semidirect |
| 289. C5 | #68583 | semidirect |
| 302. C3 | #10599376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750943 | 2 |
| #11750942 | 2 |
| #11750789 | 2 |
| #11750781 | 2 |
| C3×C5×#335 | 2 |
| #11746303 | 2 |
| #11746302 | 2 |
| #10599376 | 3 |
| #68583 | 5 |