Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
408 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 97 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. C5×#1549 | C2 | semidirect |
| 3. #10602567 | C2 | semidirect |
| 5. #10601542 | C2 | semidirect |
| 7. #10598205 | C2 | semidirect |
| 63. #1549 | D5 | semidirect |
| 296. C5 | #10448 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65376 | 2 |
| C5×#1549 | 2 |
| #10602567 | 2 |
| #10601549 | 2 |
| #10601542 | 2 |
| #10601320 | 2 |
| #10598205 | 2 |
| #10448 | 5 |