Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
452 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 93 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×#1804 | C2 | semidirect |
| 3. #10602394 | C2 | semidirect |
| 4. #10601224 | C2 | semidirect |
| 5. #10601214 | C2 | semidirect |
| 6. #10600338 | C2 | semidirect |
| 7. #10598122 | C2 | semidirect |
| 68. #1804 | D5 | semidirect |
| 351. C5 | #10465 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614038 | 2 |
| C5×#1804 | 2 |
| #10602394 | 2 |
| #10601224 | 2 |
| #10601214 | 2 |
| #10600338 | 2 |
| #10598122 | 2 |
| #10465 | 5 |