Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
290 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 59 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. #10601325 | C2 | semidirect |
| 3. #10599892 | C2 | semidirect |
| 5. C5×#1323 | C2 | semidirect |
| 6. #10598020 | C2 | semidirect |
| 67. #1323 | D5 | semidirect |
| 263. C5 | #12297 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610828 | 2 |
| #10601325 | 2 |
| #10599892 | 2 |
| #10599888 | 2 |
| C5×#1323 | 2 |
| #10598020 | 2 |
| #10598018 | 2 |
| #12297 | 5 |