Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
482 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 1. C5×#2320 | C2 | semidirect |
| 3. #10602416 | C2 | semidirect |
| 6. #10598112 | C2 | semidirect |
| 7. #10598106 | C2 | semidirect |
| 18. #65316 | C4 | semidirect |
| 20. #65310 | C4 | semidirect |
| 73. #2320 | D5 | semidirect |
| 334. C5 | #9330 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2320 | 2 |
| #10614175 | 2 |
| #10602416 | 2 |
| #10600285 | 2 |
| #10600225 | 2 |
| #10598112 | 2 |
| #10598106 | 2 |
| #9330 | 5 |