Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
514 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 1. C2×#65198 | C2 | semidirect |
| 3. C2×#65185 | C2 | semidirect |
| 4. #10602228 | C2 | semidirect |
| 5. #10601483 | C2 | semidirect |
| 6. C2×#64716 | C2 | semidirect |
| 7. C5×#1388 | C2 | semidirect |
| 88. #1388 | D5 | semidirect |
| 387. C5 | #13324 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65198 | 2 |
| #10610987 | 2 |
| C2×#65185 | 2 |
| #10602228 | 2 |
| #10601483 | 2 |
| C2×#64716 | 2 |
| C5×#1388 | 2 |
| #13324 | 5 |