Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
460 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 1. C2×#91270 | C2 | semidirect |
| 2. C2×C5×D48 | C2 | semidirect |
| 3. #11747898 | C2 | semidirect |
| 4. C2×#90944 | C2 | semidirect |
| 5. #11746324 | C2 | semidirect |
| 6. C3×#64727 | C2 | semidirect |
| 7. #11745894 | C2 | semidirect |
| 30. #64727 | D3 | semidirect |
| 44. Dic60 | D4 | semidirect |
| 48. C5×D24 | D4 | semidirect |
| 59. C2×D48 | D5 | semidirect |
| 181. D24 | C22⋊D5 | semidirect |
| 287. C3×C5 | #2186 | semidirect |
| 336. C5 | #69109 | semidirect |
| 352. C3 | #10602261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91270 | 2 |
| C2×C5×D48 | 2 |
| #11747898 | 2 |
| C2×#90944 | 2 |
| #11746324 | 2 |
| C3×#64727 | 2 |
| #11745894 | 2 |
| #10602261 | 3 |
| #69109 | 5 |