Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
498 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 93 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. #10611072 | C2 | semidirect |
| 3. #10601611 | C2 | semidirect |
| 4. #10600280 | C2 | semidirect |
| 5. #10600263 | C2 | semidirect |
| 6. C5×#1285 | C2 | semidirect |
| 7. #10598246 | C2 | semidirect |
| 25. #65002 | C4 | semidirect |
| 26. #65001 | C4 | semidirect |
| 89. #1285 | D5 | semidirect |
| 397. C5 | #9378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611084 | 2 |
| #10611072 | 2 |
| #10601611 | 2 |
| #10600280 | 2 |
| #10600263 | 2 |
| C5×#1285 | 2 |
| #10598246 | 2 |
| #9378 | 5 |