Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
332 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 332 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 |
|---|---|---|
| 3. #11750783 | C2 | semidirect |
| 4. C3×C5×#334 | C2 | semidirect |
| 5. #11746303 | C2 | semidirect |
| 22. C5×#334 | D3 | semidirect |
| 41. C3×#334 | D5 | semidirect |
| 68. C3×C5×C8 | SD16 | semidirect |
| 98. #334 | D15 | semidirect |
| 137. C5×C8 | #204 | semidirect |
| 167. C3×C8 | #677 | semidirect |
| 193. C3×C5 | #1693 | semidirect |
| 222. C8 | #6706 | semidirect |
| 227. C5 | #68542 | semidirect |
| 238. C3 | #10599335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750942 | 2 |
| #11750789 | 2 |
| #11750783 | 2 |
| C3×C5×#334 | 2 |
| #11746303 | 2 |
| #10599335 | 3 |
| #68542 | 5 |