Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
600 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 600 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 |
|---|---|---|
| 2. C2×#65344 | C2 | semidirect |
| 3. C2×#65003 | C2 | semidirect |
| 4. C2×C5×#329 | C2 | semidirect |
| 5. #10600615 | C2 | semidirect |
| 6. C2×#64684 | C2 | semidirect |
| 7. #10598150 | C2 | semidirect |
| 62. #4015 | D4 | semidirect |
| 66. C5×#97 | D4 | semidirect |
| 76. #3935 | D4 | semidirect |
| 82. C2×#329 | D5 | semidirect |
| 247. #97 | C22⋊D5 | semidirect |
| 382. C5 | #10085 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614738 | 2 |
| C2×#65344 | 2 |
| C2×#65003 | 2 |
| C2×C5×#329 | 2 |
| #10600615 | 2 |
| C2×#64684 | 2 |
| #10598150 | 2 |
| #10085 | 5 |