Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
302 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 87 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. C2×#64733 | C2 | semidirect |
| 5. C5×#1387 | C2 | semidirect |
| 6. #10598221 | C2 | semidirect |
| 7. #10598214 | C2 | semidirect |
| 57. #1387 | D5 | semidirect |
| 263. C5 | #13501 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64734 | 2 |
| C2×#64733 | 2 |
| #10601505 | 2 |
| #10601424 | 2 |
| C5×#1387 | 2 |
| #10598221 | 2 |
| #10598214 | 2 |
| #13501 | 5 |