Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
364 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 364 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 |
|---|---|---|
| 1. #11750947 | C2 | semidirect |
| 3. #11750794 | C2 | semidirect |
| 4. #11750789 | C2 | semidirect |
| 5. C3×C5×#335 | C2 | semidirect |
| 6. #11746307 | C2 | semidirect |
| 7. #11746306 | C2 | semidirect |
| 29. C5×#335 | D3 | semidirect |
| 56. C3×#335 | D5 | semidirect |
| 96. C3×C5×C8 | D8 | semidirect |
| 137. #335 | D15 | semidirect |
| 195. C5×C8 | D24 | semidirect |
| 238. C3×C8 | D40 | semidirect |
| 274. C3×C5 | #1685 | semidirect |
| 316. C8 | D120 | semidirect |
| 322. C5 | #68582 | semidirect |
| 337. C3 | #10599375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750947 | 2 |
| #11750944 | 2 |
| #11750794 | 2 |
| #11750789 | 2 |
| C3×C5×#335 | 2 |
| #11746307 | 2 |
| #11746306 | 2 |
| #10599375 | 3 |
| #68582 | 5 |