Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
460 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 1. C2×#91279 | C2 | semidirect |
| 2. C2×C5×D48 | C2 | semidirect |
| 3. #11747933 | C2 | semidirect |
| 4. C2×#90941 | C2 | semidirect |
| 5. #11746328 | C2 | semidirect |
| 6. C3×#64723 | C2 | semidirect |
| 7. #11745893 | C2 | semidirect |
| 31. #64723 | D3 | semidirect |
| 48. C5×D24 | D4 | semidirect |
| 51. C3×Dic20 | D4 | semidirect |
| 58. C2×D48 | D5 | semidirect |
| 134. Dic20 | D12 | semidirect |
| 180. D24 | C22⋊D5 | semidirect |
| 287. C3×C5 | #2186 | semidirect |
| 336. C5 | #69224 | semidirect |
| 352. C3 | #10602261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91279 | 2 |
| C2×C5×D48 | 2 |
| #11747933 | 2 |
| C2×#90941 | 2 |
| #11746328 | 2 |
| C3×#64723 | 2 |
| #11745893 | 2 |
| #10602261 | 3 |
| #69224 | 5 |