Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
484 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 484 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. C5×#1464 | C2 | semidirect |
| 3. #10602380 | C2 | semidirect |
| 4. #10597950 | C2 | semidirect |
| 5. #10597947 | C2 | semidirect |
| 61. #1464 | D5 | semidirect |
| 341. C5 | #11761 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614015 | 2 |
| C5×#1464 | 2 |
| #10602380 | 2 |
| #10597950 | 2 |
| #10597947 | 2 |
| #11761 | 5 |