Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
472 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 111 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. D15×M32 | C2 | semidirect |
| 3. C3×C5×#349 | C2 | semidirect |
| 4. #11746374 | C2 | semidirect |
| 5. #11746335 | C2 | semidirect |
| 16. C3×C5×M32 | C22 | semidirect |
| 17. #91096 | C22 | semidirect |
| 23. C5×#349 | D3 | semidirect |
| 53. C3×#349 | D5 | semidirect |
| 65. C5×M32 | C2×D3 | semidirect |
| 107. C3×M32 | C2×D5 | semidirect |
| 140. #349 | D15 | direct (N × H) |
| 221. M32 | C2×D15 | semidirect |
| 228. D15 | #349 | direct (N × H) |
| 298. C3×C5 | C2×#349 | semidirect |
| 355. C5 | D3×#349 | semidirect |
| 372. C3 | D5×#349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×D15 | 2 |
| D15×M32 | 2 |
| C3×C5×#349 | 2 |
| #11746374 | 2 |
| #11746335 | 2 |
| D5×#349 | 3 |
| D3×#349 | 5 |