Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
460 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 85 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×#91801 | C2 | semidirect |
| 2. C2×C3×C5×D16 | C2 | semidirect |
| 3. #11751258 | C2 | semidirect |
| 4. C2×#91111 | C2 | semidirect |
| 5. #11746383 | C2 | semidirect |
| 6. #11746328 | C2 | semidirect |
| 7. #11746324 | C2 | semidirect |
| 26. C2×C5×D16 | D3 | semidirect |
| 44. C3×C5×D8 | D4 | semidirect |
| 51. Dic60 | D4 | semidirect |
| 57. C2×C3×D16 | D5 | semidirect |
| 127. C5×D8 | #67 | semidirect |
| 141. C2×D16 | D15 | semidirect |
| 173. C3×D8 | C22⋊D5 | semidirect |
| 278. D8 | #1220 | semidirect |
| 287. C3×C5 | #2186 | semidirect |
| 336. C5 | #71468 | 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×#91801 | 2 |
| C2×C3×C5×D16 | 2 |
| #11751258 | 2 |
| C2×#91111 | 2 |
| #11746383 | 2 |
| #11746328 | 2 |
| #11746324 | 2 |
| #10602261 | 3 |
| #71468 | 5 |