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×#91275 | C2 | semidirect |
| 2. C2×D240 | C2 | semidirect |
| 3. #11747917 | C2 | semidirect |
| 4. C2×#90943 | C2 | semidirect |
| 5. C5×(C2×D3)⋊C16 | C2 | semidirect |
| 6. C3×#64723 | C2 | semidirect |
| 7. #11745895 | C2 | semidirect |
| 31. #64723 | D3 | semidirect |
| 45. D120 | D4 | semidirect |
| 51. C3×Dic20 | D4 | semidirect |
| 61. (C2×D3)⋊C16 | D5 | semidirect |
| 131. Dic20 | D12 | semidirect |
| 287. C3×C5 | #2186 | semidirect |
| 336. C5 | #69224 | semidirect |
| 352. C3 | #10599902 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91275 | 2 |
| C2×D240 | 2 |
| #11747917 | 2 |
| C2×#90943 | 2 |
| C5×(C2×D3)⋊C16 | 2 |
| C3×#64723 | 2 |
| #11745895 | 2 |
| #10599902 | 3 |
| #69224 | 5 |