Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
284 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 97 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. #11750783 | C2 | semidirect |
| 3. C3×C5×C4⋊C16 | C2 | semidirect |
| 5. #11746326 | C2 | semidirect |
| 19. C5×C4⋊C16 | D3 | semidirect |
| 33. D120 | Q8 | semidirect |
| 37. C3×C4⋊C16 | D5 | semidirect |
| 88. C4⋊C16 | D15 | semidirect |
| 175. C3×C5 | #2226 | semidirect |
| 207. C5 | #69290 | semidirect |
| 218. C3 | #10600083 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D120 | 2 |
| #11750783 | 2 |
| C3×C5×C4⋊C16 | 2 |
| #11746330 | 2 |
| #11746326 | 2 |
| #10600083 | 3 |
| #69290 | 5 |