Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
464 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 2. D15×#107 | C2 | semidirect |
| 3. C2×#90936 | C2 | semidirect |
| 4. C5×#4491 | C2 | semidirect |
| 5. C3×#64712 | C2 | semidirect |
| 6. #11745898 | C2 | semidirect |
| 7. #11745894 | C2 | semidirect |
| 16. #91279 | C4 | semidirect |
| 30. #64712 | D3 | semidirect |
| 47. C5×D24 | C2×C4 | semidirect |
| 49. C3×Dic20 | C2×C4 | semidirect |
| 59. #4491 | D5 | semidirect |
| 125. Dic20 | C4×D3 | semidirect |
| 167. D24 | C4×D5 | semidirect |
| 264. C3×C5 | #2139 | semidirect |
| 307. C5 | #69221 | semidirect |
| 321. C3 | #10599982 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91279 | 2 |
| D15×#107 | 2 |
| C2×#90936 | 2 |
| C5×#4491 | 2 |
| C3×#64712 | 2 |
| #11745898 | 2 |
| #11745894 | 2 |
| #10599982 | 3 |
| #69221 | 5 |