Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
472 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 472 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×#1540 | C2 | semidirect |
| 3. #10602604 | C2 | semidirect |
| 4. #10601582 | C2 | semidirect |
| 5. #10601262 | C2 | semidirect |
| 6. #10601224 | C2 | semidirect |
| 7. #10598231 | C2 | semidirect |
| 82. #1540 | D5 | semidirect |
| 400. C5 | #10546 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615017 | 2 |
| C5×#1540 | 2 |
| #10602604 | 2 |
| #10601582 | 2 |
| #10601262 | 2 |
| #10601224 | 2 |
| #10598231 | 2 |
| #10546 | 5 |