Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
604 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 604 conjugacy classes of subgroups — too many to draw. Only its 103 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. #10614162 | C2 | semidirect |
| 4. C5×#1479 | C2 | semidirect |
| 5. #10601585 | C2 | semidirect |
| 7. #10598237 | C2 | semidirect |
| 83. #1479 | D5 | semidirect |
| 91. C2×C5×Q8 | SD16 | semidirect |
| 286. C2×Q8 | #677 | semidirect |
| 385. C5 | #10250 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614207 | 2 |
| #10614162 | 2 |
| #10611036 | 2 |
| C5×#1479 | 2 |
| #10601585 | 2 |
| #10601567 | 2 |
| #10598237 | 2 |
| #10250 | 5 |