Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1354 conjugacy classes of subgroups; only the 368 normal subgroups are shown.
This group has 1354 conjugacy classes of subgroups — too many to draw. Only its 368 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. #10604897 | C2 | semidirect |
| 4. #10603776 | C2 | semidirect |
| 10. D5⋊(C22⋊C8) | C4 | semidirect |
| 12. C2×#4002 | C22 | semidirect |
| 17. #64918 | C22 | semidirect |
| 30. C2×D5⋊C8 | C2×C4 | semidirect |
| 37. #4003 | C2×C4 | semidirect |
| 105. C22×D5 | #97 | semidirect |
| 248. C5 | #20526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D5⋊(C22⋊C8) | 2 |
| C2×#64955 | 2 |
| #10604897 | 2 |
| #10603776 | 2 |
| #20526 | 5 |