Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
336 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 336 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. #11750952 | C2 | semidirect |
| 4. #11750780 | C2 | semidirect |
| 5. C3×C5×#335 | C2 | semidirect |
| 6. #11746307 | C2 | semidirect |
| 29. C5×#335 | D3 | semidirect |
| 55. C3×#335 | D5 | semidirect |
| 93. C3×C5×C8 | SD16 | semidirect |
| 133. #335 | D15 | semidirect |
| 186. C5×C8 | #204 | semidirect |
| 226. C3×C8 | #677 | semidirect |
| 259. C3×C5 | #1686 | semidirect |
| 296. C8 | #6706 | semidirect |
| 301. C5 | #68592 | semidirect |
| 314. C3 | #10599385 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750952 | 2 |
| #11750949 | 2 |
| #11750794 | 2 |
| #11750780 | 2 |
| C3×C5×#335 | 2 |
| #11746307 | 2 |
| #11746306 | 2 |
| #10599385 | 3 |
| #68592 | 5 |