Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
460 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 88 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×#91793 | C2 | semidirect |
| 2. C3×#65404 | C2 | semidirect |
| 3. C2×#90942 | C2 | semidirect |
| 4. C2×#90938 | C2 | semidirect |
| 5. C5×#4549 | C2 | semidirect |
| 6. #11745901 | C2 | semidirect |
| 7. #11745895 | C2 | semidirect |
| 26. #65404 | D3 | semidirect |
| 46. Dic60 | D4 | semidirect |
| 48. D120 | D4 | semidirect |
| 60. #4549 | D5 | semidirect |
| 287. C3×C5 | #2186 | semidirect |
| 336. C5 | #71076 | 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×#91793 | 2 |
| C3×#65404 | 2 |
| C2×#90942 | 2 |
| C2×#90938 | 2 |
| C5×#4549 | 2 |
| #11745901 | 2 |
| #11745895 | 2 |
| #10599902 | 3 |
| #71076 | 5 |