Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
416 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 94 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. #11751180 | C2 | semidirect |
| 2. C5×#5088 | C2 | semidirect |
| 3. C3×#65377 | C2 | semidirect |
| 4. #11747066 | C2 | semidirect |
| 6. #11746890 | C2 | semidirect |
| 7. #11745832 | C2 | semidirect |
| 24. #65377 | D3 | semidirect |
| 49. #5088 | D5 | semidirect |
| 239. C3×C5 | #1717 | semidirect |
| 280. C5 | #71186 | semidirect |
| 293. C3 | #10601980 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751180 | 2 |
| C5×#5088 | 2 |
| C3×#65377 | 2 |
| #11747066 | 2 |
| #11747039 | 2 |
| #11746890 | 2 |
| #11745832 | 2 |
| #10601980 | 3 |
| #71186 | 5 |