Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
316 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 3. C2×Dic120 | C2 | semidirect |
| 4. #11750974 | C2 | semidirect |
| 6. #11746322 | C2 | semidirect |
| 7. #11746313 | C2 | semidirect |
| 238. C3×C5 | #2211 | semidirect |
| 274. C5 | #69205 | semidirect |
| 286. C3 | #10599998 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751256 | 2 |
| C2×#91111 | 2 |
| C2×Dic120 | 2 |
| #11750974 | 2 |
| C3×C5×#357 | 2 |
| #11746322 | 2 |
| #11746313 | 2 |
| #10599998 | 3 |
| #69205 | 5 |