Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
492 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 109 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. #10605122 | C2 | semidirect |
| 4. #10601572 | C2 | semidirect |
| 6. C5×#1274 | C2 | semidirect |
| 7. #10598229 | C2 | semidirect |
| 21. #64982 | C4 | semidirect |
| 22. #64970 | C4 | semidirect |
| 74. #1274 | D5 | semidirect |
| 100. C42×C5 | SD16 | semidirect |
| 284. C42 | #677 | semidirect |
| 337. C5 | #9301 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611043 | 2 |
| #10605122 | 2 |
| #10601583 | 2 |
| #10601572 | 2 |
| #10600233 | 2 |
| C5×#1274 | 2 |
| #10598229 | 2 |
| #9301 | 5 |