Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
386 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 89 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×#1542 | C2 | semidirect |
| 3. #10602628 | C2 | semidirect |
| 5. #10601262 | C2 | semidirect |
| 7. #10598231 | C2 | semidirect |
| 77. #1542 | D5 | semidirect |
| 349. C5 | #10547 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615066 | 2 |
| C5×#1542 | 2 |
| #10602628 | 2 |
| #10601582 | 2 |
| #10601262 | 2 |
| #10601224 | 2 |
| #10598231 | 2 |
| #10547 | 5 |