Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
364 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 364 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 |
|---|---|---|
| 4. #10601304 | C2 | semidirect |
| 5. #10600584 | C2 | semidirect |
| 6. #10600531 | C2 | semidirect |
| 7. #10598203 | C2 | semidirect |
| 302. C5 | #10533 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615052 | 2 |
| C5×#1492 | 2 |
| #10602603 | 2 |
| #10601304 | 2 |
| #10600584 | 2 |
| #10600531 | 2 |
| #10598203 | 2 |
| #10533 | 5 |