Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
368 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 368 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 |
|---|---|---|
| 2. #11751176 | C2 | semidirect |
| 3. #11750780 | C2 | semidirect |
| 4. #11746365 | C2 | semidirect |
| 5. #11746278 | C2 | semidirect |
| 69. C3×C5×C8 | SD16 | semidirect |
| 141. C5×C8 | #214 | semidirect |
| 172. C3×C8 | #687 | semidirect |
| 200. C3×C5 | #1688 | semidirect |
| 230. C8 | #6716 | semidirect |
| 235. C5 | #71287 | semidirect |
| 246. C3 | #10602080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#493 | 2 |
| #11751176 | 2 |
| #11750780 | 2 |
| #11746365 | 2 |
| #11746278 | 2 |
| #10602080 | 3 |
| #71287 | 5 |