Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
490 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 113 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. #10615060 | C2 | semidirect |
| 3. C5×#1518 | C2 | semidirect |
| 6. #10598231 | C2 | semidirect |
| 7. #10598122 | C2 | semidirect |
| 12. #65377 | C4 | semidirect |
| 13. #65374 | C4 | semidirect |
| 71. #1518 | D5 | semidirect |
| 118. C2×#168 | SD16 | semidirect |
| 325. C5 | #9294 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615086 | 2 |
| #10615060 | 2 |
| C5×#1518 | 2 |
| #10601567 | 2 |
| #10600346 | 2 |
| #10598231 | 2 |
| #10598122 | 2 |
| #9294 | 5 |