Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
508 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 107 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. #10605883 | C2 | semidirect |
| 5. #10601571 | C2 | semidirect |
| 6. #10598228 | C2 | semidirect |
| 7. #10598122 | C2 | semidirect |
| 15. #65367 | C4 | semidirect |
| 16. #65359 | C4 | semidirect |
| 347. C5 | #9300 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615001 | 2 |
| #10605883 | 2 |
| C5×#1517 | 2 |
| #10602609 | 2 |
| #10601571 | 2 |
| #10598228 | 2 |
| #10598122 | 2 |
| #9300 | 5 |