Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
520 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 114 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 |
|---|---|---|
| 2. C2×C3×#3930 | C2 | semidirect |
| 3. #11747672 | C2 | semidirect |
| 4. #11746330 | C2 | semidirect |
| 5. C5×#4509 | C2 | semidirect |
| 6. #11745896 | C2 | semidirect |
| 7. #11745894 | C2 | semidirect |
| 16. D5×D24 | C4 | semidirect |
| 17. C2×C3×C5×C16 | C22 | semidirect |
| 18. #91102 | C22 | semidirect |
| 19. C5×#818 | C22 | semidirect |
| 20. C2×C3×#672 | C22 | semidirect |
| 25. C2×#3930 | D3 | semidirect |
| 59. #4509 | D5 | semidirect |
| 68. C2×C5×C16 | C2×D3 | semidirect |
| 71. C2×#672 | C2×D3 | semidirect |
| 105. C2×C3×C16 | C2×D5 | semidirect |
| 107. #818 | C2×D5 | semidirect |
| 206. C2×C16 | D3×D5 | semidirect |
| 274. C3×C5 | #2140 | semidirect |
| 323. C5 | #71440 | semidirect |
| 340. C3 | #10599983 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D5×D24 | 2 |
| C2×C3×#3930 | 2 |
| #11747672 | 2 |
| #11746330 | 2 |
| C5×#4509 | 2 |
| #11745896 | 2 |
| #11745894 | 2 |
| #10599983 | 3 |
| #71440 | 5 |