Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
358 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 3. #10601478 | C2 | semidirect |
| 5. #10601443 | C2 | semidirect |
| 6. C5×#1382 | C2 | semidirect |
| 7. #10598298 | C2 | semidirect |
| 19. C2×#3930 | C4 | semidirect |
| 20. C2×D5×C16 | C4 | semidirect |
| 65. #1382 | D5 | semidirect |
| 260. C5 | #12832 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65190 | 2 |
| #10601511 | 2 |
| #10601478 | 2 |
| #10601457 | 2 |
| #10601443 | 2 |
| C5×#1382 | 2 |
| #10598298 | 2 |
| #12832 | 5 |