Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
448 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 92 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×C16×D15 | C2 | semidirect |
| 3. #11748060 | C2 | semidirect |
| 4. C5×#4510 | C2 | semidirect |
| 5. C3×#64730 | C2 | semidirect |
| 6. #11745905 | C2 | semidirect |
| 7. #11745903 | C2 | semidirect |
| 21. C2×C3×C5×C16 | C22 | semidirect |
| 22. C2×C3⋊#672 | C22 | semidirect |
| 25. C5×#819 | C22 | semidirect |
| 26. C3×#3951 | C22 | semidirect |
| 34. #64730 | D3 | semidirect |
| 74. #4510 | D5 | semidirect |
| 88. C2×C5×C16 | C2×D3 | semidirect |
| 91. #3951 | C2×D3 | semidirect |
| 137. C2×C3×C16 | C2×D5 | semidirect |
| 140. #819 | C2×D5 | semidirect |
| 274. C2×C16 | D3×D5 | semidirect |
| 281. D15 | #359 | semidirect |
| 359. C3×C5 | C2×#359 | semidirect |
| 414. C5 | D3×#359 | semidirect |
| 428. C3 | D5×#359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11753978 | 2 |
| C2×C16×D15 | 2 |
| #11748060 | 2 |
| C5×#4510 | 2 |
| C3×#64730 | 2 |
| #11745905 | 2 |
| #11745903 | 2 |
| D5×#359 | 3 |
| D3×#359 | 5 |