Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
376 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 100 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. C5×C8×Dic6 | C2 | semidirect |
| 3. #11747078 | C2 | semidirect |
| 4. C3×#64678 | C2 | semidirect |
| 5. #11745854 | C2 | semidirect |
| 23. #64678 | D3 | semidirect |
| 41. C8×Dic6 | D5 | semidirect |
| 68. C5×Dic6 | D8 | semidirect |
| 70. C3×C5×C8 | SD16 | semidirect |
| 145. C5×C8 | #204 | semidirect |
| 174. Dic6 | D40 | semidirect |
| 177. C3×C8 | #688 | semidirect |
| 205. C3×C5 | #1668 | semidirect |
| 237. C8 | #6660 | semidirect |
| 242. C5 | #68586 | semidirect |
| 254. C3 | #10601732 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750796 | 2 |
| C5×C8×Dic6 | 2 |
| #11747078 | 2 |
| C3×#64678 | 2 |
| #11745854 | 2 |
| #10601732 | 3 |
| #68586 | 5 |