Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
316 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 83 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. D5×#334 | C2 | semidirect |
| 4. C5×#1360 | C2 | semidirect |
| 5. #10598287 | C2 | semidirect |
| 6. #10598054 | C2 | semidirect |
| 7. #10597959 | C2 | semidirect |
| 67. #1360 | D5 | semidirect |
| 276. C5 | #11944 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10613540 | 2 |
| #10600067 | 2 |
| D5×#334 | 2 |
| C5×#1360 | 2 |
| #10598287 | 2 |
| #10598054 | 2 |
| #10597959 | 2 |
| #11944 | 5 |