Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
332 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 4. #11748018 | C2 | semidirect |
| 5. #11745927 | C2 | semidirect |
| 6. #11745901 | C2 | semidirect |
| 7. #11745899 | C2 | semidirect |
| 137. C3×Dic5 | SD32 | semidirect |
| 220. Dic5 | #827 | semidirect |
| 241. C3×C5 | #2208 | semidirect |
| 278. C5 | #70892 | semidirect |
| 290. C3 | #10602269 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91111 | 2 |
| C2×C5×#827 | 2 |
| C3×D8×Dic5 | 2 |
| #11748018 | 2 |
| #11745927 | 2 |
| #11745901 | 2 |
| #11745899 | 2 |
| #10602269 | 3 |
| #70892 | 5 |