Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
532 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 82 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×#91256 | C2 | semidirect |
| 2. C2×C3×D80 | C2 | semidirect |
| 3. #11747932 | C2 | semidirect |
| 4. C2×#90937 | C2 | semidirect |
| 5. #11746328 | C2 | semidirect |
| 6. C5×#4509 | C2 | semidirect |
| 7. #11745891 | C2 | semidirect |
| 13. C2×C3×D40 | C22 | semidirect |
| 18. C2×C3×C5×C16 | C22 | semidirect |
| 19. C2×C3⋊#672 | C22 | semidirect |
| 20. C5×#818 | C22 | semidirect |
| 27. C2×D80 | D3 | semidirect |
| 47. C5×D24 | D4 | semidirect |
| 51. C3×D40 | D4 | semidirect |
| 61. #4509 | D5 | semidirect |
| 69. C2×D40 | C2×D3 | semidirect |
| 72. C2×C5×C16 | C2×D3 | semidirect |
| 112. C2×C3×C16 | C2×D5 | semidirect |
| 115. #818 | C2×D5 | semidirect |
| 136. D40 | #67 | semidirect |
| 151. C2×D15 | D16 | semidirect |
| 185. D24 | D20 | semidirect |
| 225. C2×C16 | D3×D5 | semidirect |
| 300. C3×C5 | #2184 | semidirect |
| 356. C5 | #71467 | semidirect |
| 375. C3 | #10599984 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91256 | 2 |
| C2×C3×D80 | 2 |
| #11747932 | 2 |
| C2×#90937 | 2 |
| #11746328 | 2 |
| C5×#4509 | 2 |
| #11745891 | 2 |
| #10599984 | 3 |
| #71467 | 5 |