Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
456 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 119 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. C3×C5×Q82 | C2 | semidirect |
| 4. #11746367 | C2 | semidirect |
| 5. #11746356 | C2 | semidirect |
| 19. C5×Q82 | D3 | semidirect |
| 40. C3×Q82 | D5 | semidirect |
| 61. C3×C5×Q8 | SD16 | semidirect |
| 99. Q82 | D15 | semidirect |
| 133. C5×Q8 | #215 | semidirect |
| 162. C3×Q8 | #688 | semidirect |
| 198. C3×C5 | #1623 | semidirect |
| 215. Q8 | #6717 | semidirect |
| 229. C5 | #71939 | semidirect |
| 239. C3 | #10602732 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×Q82 | 2 |
| #11751186 | 2 |
| #11751128 | 2 |
| #11746367 | 2 |
| #11746356 | 2 |
| #10602732 | 3 |
| #71939 | 5 |