Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
500 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 86 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×#4751 | C2 | semidirect |
| 3. #11749372 | C2 | semidirect |
| 4. #11746298 | C2 | semidirect |
| 5. C3×#64698 | C2 | semidirect |
| 6. #11746015 | C2 | semidirect |
| 7. #11746014 | C2 | semidirect |
| 33. #64698 | D3 | semidirect |
| 73. #4751 | D5 | semidirect |
| 389. C3×C5 | #2132 | semidirect |
| 453. C5 | #69172 | semidirect |
| 472. C3 | #10600941 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11755164 | 2 |
| C5×#4751 | 2 |
| #11749372 | 2 |
| #11746298 | 2 |
| C3×#64698 | 2 |
| #11746015 | 2 |
| #11746014 | 2 |
| #10600941 | 3 |
| #69172 | 5 |