Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
344 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 344 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 |
|---|---|---|
| 3. #11746946 | C2 | semidirect |
| 4. #11746855 | C2 | semidirect |
| 6. #11745866 | C2 | semidirect |
| 7. #11745858 | C2 | semidirect |
| 86. Dic30 | SD16 | semidirect |
| 94. C5×C3⋊C8 | SD16 | semidirect |
| 227. C3⋊C8 | #687 | semidirect |
| 259. C3×C5 | #1666 | semidirect |
| 301. C5 | #68408 | semidirect |
| 314. C3 | #10602065 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751176 | 2 |
| C5×#5076 | 2 |
| #11746946 | 2 |
| #11746855 | 2 |
| C3×#64764 | 2 |
| #11745866 | 2 |
| #11745858 | 2 |
| #10602065 | 3 |
| #68408 | 5 |