Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
376 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 96 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. C8×Dic30 | C2 | semidirect |
| 3. #11747086 | C2 | semidirect |
| 4. C3×#64678 | C2 | semidirect |
| 5. #11745853 | C2 | semidirect |
| 23. #64678 | D3 | semidirect |
| 63. Dic30 | D8 | semidirect |
| 70. C3×C5×C8 | SD16 | semidirect |
| 144. C5×C8 | #204 | semidirect |
| 177. C3×C8 | #687 | semidirect |
| 205. C3×C5 | #1668 | semidirect |
| 237. C8 | #6659 | semidirect |
| 242. C5 | #68586 | semidirect |
| 254. C3 | #10602079 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C8×Dic30 | 2 |
| C5×#4695 | 2 |
| #11747086 | 2 |
| C3×#64678 | 2 |
| #11745853 | 2 |
| #10602079 | 3 |
| #68586 | 5 |