Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
338 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 95 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. #10600067 | C2 | semidirect |
| 3. #10599864 | C2 | semidirect |
| 4. C5×#1330 | C2 | semidirect |
| 5. #10598252 | C2 | semidirect |
| 6. #10598050 | C2 | semidirect |
| 7. #10598009 | C2 | semidirect |
| 68. #1330 | D5 | semidirect |
| 282. C5 | #11617 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611248 | 2 |
| #10600067 | 2 |
| #10599864 | 2 |
| C5×#1330 | 2 |
| #10598252 | 2 |
| #10598050 | 2 |
| #10598009 | 2 |
| #11617 | 5 |