Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
496 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 95 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. #10613940 | C2 | semidirect |
| 3. C5×#1464 | C2 | semidirect |
| 4. #10601597 | C2 | semidirect |
| 5. #10598239 | C2 | semidirect |
| 59. #3935 | D4 | semidirect |
| 64. #1464 | D5 | semidirect |
| 328. C5 | #9389 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10613991 | 2 |
| #10613940 | 2 |
| C5×#1464 | 2 |
| #10601597 | 2 |
| #10598239 | 2 |
| #9389 | 5 |