Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
520 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 124 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. #11747672 | C2 | semidirect |
| 3. C2×#90934 | C2 | semidirect |
| 4. #11746383 | C2 | semidirect |
| 5. C5×#4562 | C2 | semidirect |
| 6. #11745892 | C2 | semidirect |
| 7. #11745891 | C2 | semidirect |
| 13. C3×D5×D8 | C4 | semidirect |
| 17. #91102 | C22 | semidirect |
| 18. C2×C3⋊#672 | C22 | semidirect |
| 19. C5×#818 | C22 | semidirect |
| 20. C2×C5×C3⋊C16 | C22 | semidirect |
| 59. #4562 | D5 | semidirect |
| 64. D5×D8 | Dic3 | semidirect |
| 104. #818 | C2×D5 | semidirect |
| 108. C2×C3⋊C16 | C2×D5 | semidirect |
| 274. C3×C5 | #2140 | semidirect |
| 323. C5 | #72033 | 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×C3×D5×D8 | 2 |
| #11747672 | 2 |
| C2×#90934 | 2 |
| #11746383 | 2 |
| C5×#4562 | 2 |
| #11745892 | 2 |
| #11745891 | 2 |
| #10599983 | 3 |
| #72033 | 5 |