Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
372 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 73 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. #10599912 | C2 | semidirect |
| 3. #10599517 | C2 | semidirect |
| 4. C5×#1341 | C2 | semidirect |
| 5. #10598270 | C2 | semidirect |
| 6. #10598028 | C2 | semidirect |
| 7. #10597975 | C2 | semidirect |
| 75. #1341 | D5 | semidirect |
| 338. C5 | #11872 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10612597 | 2 |
| #10599912 | 2 |
| #10599517 | 2 |
| C5×#1341 | 2 |
| #10598270 | 2 |
| #10598028 | 2 |
| #10597975 | 2 |
| #11872 | 5 |