Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
390 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 93 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. #10599886 | C2 | semidirect |
| 3. #10599885 | C2 | semidirect |
| 4. C5×#1314 | C2 | semidirect |
| 5. #10598164 | C2 | semidirect |
| 6. #10598013 | C2 | semidirect |
| 7. #10598013 | C2 | semidirect |
| 69. #1314 | D5 | semidirect |
| 327. C5 | #11489 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65018 | 2 |
| #10599886 | 2 |
| #10599885 | 2 |
| C5×#1314 | 2 |
| #10598164 | 2 |
| #10598013 | 2 |
| #11489 | 5 |