Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
650 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 650 conjugacy classes of subgroups — too many to draw. Only its 101 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×C5×#509 | C2 | semidirect |
| 2. C2×#65482 | C2 | semidirect |
| 3. C2×#65440 | C2 | semidirect |
| 4. #10602877 | C2 | semidirect |
| 5. C2×#64783 | C2 | semidirect |
| 6. C2×#64736 | C2 | semidirect |
| 7. #10598301 | C2 | semidirect |
| 40. C2×C5×Q16 | D4 | semidirect |
| 48. C2×C5×D8 | D4 | semidirect |
| 67. C5×M32 | D4 | semidirect |
| 78. #3944 | D4 | semidirect |
| 81. C2×#509 | D5 | semidirect |
| 217. C2×Q16 | C22⋊D5 | semidirect |
| 234. C2×D8 | C22⋊D5 | semidirect |
| 248. M32 | C22⋊D5 | semidirect |
| 383. C5 | #13331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#509 | 2 |
| C2×#65482 | 2 |
| C2×#65440 | 2 |
| #10602877 | 2 |
| C2×#64783 | 2 |
| C2×#64736 | 2 |
| #10598301 | 2 |
| #13331 | 5 |