Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
472 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 108 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. #11747533 | C2 | semidirect |
| 3. C5×#4553 | C2 | semidirect |
| 4. C3×#64773 | C2 | semidirect |
| 5. #11745884 | C2 | semidirect |
| 16. C5×#812 | C22 | semidirect |
| 17. C3×#3944 | C22 | semidirect |
| 24. #64773 | D3 | semidirect |
| 54. #4553 | D5 | semidirect |
| 66. #3944 | C2×D3 | semidirect |
| 108. #812 | C2×D5 | semidirect |
| 228. D15 | #349 | semidirect |
| 298. C3×C5 | C2×#349 | semidirect |
| 355. C5 | D3×#349 | semidirect |
| 372. C3 | D5×#349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×D15 | 2 |
| #11747533 | 2 |
| C5×#4553 | 2 |
| C3×#64773 | 2 |
| #11745884 | 2 |
| D5×#349 | 3 |
| D3×#349 | 5 |