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×#91273 | C2 | semidirect |
| 2. C2×#91111 | C2 | semidirect |
| 3. C5×#5157 | C2 | semidirect |
| 4. C2×C3×#3958 | C2 | semidirect |
| 5. #11745902 | C2 | semidirect |
| 6. #11745891 | C2 | semidirect |
| 7. (C2×D3)⋊#672 | C2 | semidirect |
| 28. C2×#3958 | D3 | semidirect |
| 45. Dic60 | D4 | semidirect |
| 52. C3×D40 | D4 | semidirect |
| 58. #5157 | D5 | semidirect |
| 135. D40 | #67 | semidirect |
| 287. C3×C5 | #2186 | semidirect |
| 336. C5 | #71468 | semidirect |
| 352. C3 | #10601869 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91273 | 2 |
| C2×#91111 | 2 |
| C5×#5157 | 2 |
| C2×C3×#3958 | 2 |
| #11745902 | 2 |
| #11745891 | 2 |
| (C2×D3)⋊#672 | 2 |
| #10601869 | 3 |
| #71468 | 5 |