Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
524 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 119 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. #10602393 | C2 | semidirect |
| 3. #10598131 | C2 | semidirect |
| 4. #10598123 | C2 | semidirect |
| 24. C5×#127 | C8 | semidirect |
| 57. C2×C5×D4 | C2×C8 | semidirect |
| 80. C42×C5 | C2×C8 | semidirect |
| 140. #127 | #168 | semidirect |
| 191. C2×D4 | C2×#168 | semidirect |
| 216. C42 | C2×#168 | semidirect |
| 262. C5 | #11479 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2328 | 2 |
| #10602393 | 2 |
| #10598131 | 2 |
| #10598123 | 2 |
| #11479 | 5 |