Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
412 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 72 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×C5×Dic24 | C2 | semidirect |
| 3. #11748097 | C2 | semidirect |
| 4. #11747550 | C2 | semidirect |
| 5. #11746329 | C2 | semidirect |
| 6. C3×#64730 | C2 | semidirect |
| 7. #11745923 | C2 | semidirect |
| 32. #64730 | D3 | semidirect |
| 63. C2×Dic24 | D5 | semidirect |
| 299. C3×C5 | #2195 | semidirect |
| 340. C5 | #69245 | semidirect |
| 350. C3 | #10602299 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11754008 | 2 |
| C2×C5×Dic24 | 2 |
| #11748097 | 2 |
| #11747550 | 2 |
| #11746329 | 2 |
| C3×#64730 | 2 |
| #11745923 | 2 |
| #10602299 | 3 |
| #69245 | 5 |