Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
200 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 58 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. #11746760 | C2 | semidirect |
| 3. C3×C8×#170 | C2 | semidirect |
| 15. C8×#170 | D3 | semidirect |
| 20. C5×Dic12 | C8 | semidirect |
| 21. C5×D24 | C8 | semidirect |
| 85. Dic12 | #170 | semidirect |
| 86. D24 | #170 | semidirect |
| 143. C3×C5 | #1335 | semidirect |
| 168. C5 | #67441 | semidirect |
| 175. C3 | #10598815 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11748062 | 2 |
| #11746760 | 2 |
| C3×C8×#170 | 2 |
| #10598815 | 3 |
| #67441 | 5 |