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. #11751258 | C2 | semidirect |
| 3. C2×C5×#826 | C2 | semidirect |
| 4. C2×C3×#3958 | C2 | semidirect |
| 5. #11745894 | C2 | semidirect |
| 6. #11745892 | C2 | semidirect |
| 7. #11745881 | C2 | semidirect |
| 10. C2×C3×C5×D8 | C22 | semidirect |
| 19. #91102 | C22 | semidirect |
| 21. C2×C5×C3⋊C16 | C22 | semidirect |
| 23. C2×C3×#672 | C22 | semidirect |
| 28. C2×#3958 | D3 | semidirect |
| 50. C5×D24 | D4 | semidirect |
| 52. C3×D40 | D4 | semidirect |
| 59. C2×#826 | D5 | semidirect |
| 65. C2×C5×D8 | C2×D3 | semidirect |
| 77. C2×#672 | C2×D3 | semidirect |
| 104. C2×C3×D8 | C2×D5 | semidirect |
| 116. C2×C3⋊C16 | C2×D5 | semidirect |
| 136. D40 | #67 | semidirect |
| 154. C2×D15 | D16 | semidirect |
| 185. D24 | C22⋊D5 | semidirect |
| 219. C2×D8 | D3×D5 | semidirect |
| 300. C3×C5 | #2184 | semidirect |
| 356. C5 | #71467 | semidirect |
| 375. C3 | #10602260 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91256 | 2 |
| #11751258 | 2 |
| C2×C5×#826 | 2 |
| C2×C3×#3958 | 2 |
| #11745894 | 2 |
| #11745892 | 2 |
| #11745881 | 2 |
| #10602260 | 3 |
| #71467 | 5 |