Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
432 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 83 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. C3×C5×#473 | C2 | semidirect |
| 3. #11751280 | C2 | semidirect |
| 4. C2×#91112 | C2 | semidirect |
| 5. #11746382 | C2 | semidirect |
| 6. #11746318 | C2 | semidirect |
| 7. #11746316 | C2 | semidirect |
| 11. C2×C3×C5×Q16 | C22 | semidirect |
| 19. C3×C5×#108 | C22 | semidirect |
| 24. #91096 | C22 | semidirect |
| 25. C2×C3⋊#672 | C22 | semidirect |
| 28. C5×#473 | D3 | semidirect |
| 62. C3×#473 | D5 | semidirect |
| 70. C2×C5×Q16 | C2×D3 | semidirect |
| 78. C5×#108 | C2×D3 | semidirect |
| 111. C2×C3×Q16 | C2×D5 | semidirect |
| 119. C3×#108 | C2×D5 | semidirect |
| 156. #473 | D15 | semidirect |
| 227. C2×Q16 | C2×D15 | semidirect |
| 236. #108 | C2×D15 | semidirect |
| 304. C3×C5 | #2194 | semidirect |
| 349. C5 | #71098 | semidirect |
| 361. C3 | #10601891 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11756511 | 2 |
| C3×C5×#473 | 2 |
| #11751280 | 2 |
| C2×#91112 | 2 |
| #11746382 | 2 |
| #11746318 | 2 |
| #11746316 | 2 |
| #10601891 | 3 |
| #71098 | 5 |