Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
322 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 81 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. #10599864 | C2 | semidirect |
| 3. #10599323 | C2 | semidirect |
| 4. C5×#1334 | C2 | semidirect |
| 5. #10598255 | C2 | semidirect |
| 6. #10598007 | C2 | semidirect |
| 7. #10597956 | C2 | semidirect |
| 66. #1334 | D5 | semidirect |
| 278. C5 | #11682 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611446 | 2 |
| #10599864 | 2 |
| #10599323 | 2 |
| C5×#1334 | 2 |
| #10598255 | 2 |
| #10598007 | 2 |
| #10597956 | 2 |
| #11682 | 5 |