Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1050 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 1050 conjugacy classes of subgroups — too many to draw. Only its 159 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. #10602552 | C2 | semidirect |
| 3. #10602415 | C2 | semidirect |
| 4. #10602410 | C2 | semidirect |
| 5. #10602394 | C2 | semidirect |
| 145. C5×Q8 | #100 | semidirect |
| 304. Q8 | #3965 | semidirect |
| 334. C5 | #8385 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#550 | 2 |
| #10602552 | 2 |
| #10602415 | 2 |
| #10602410 | 2 |
| #10602394 | 2 |
| #8385 | 5 |