Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
444 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 85 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. #10611057 | C2 | semidirect |
| 3. #10601620 | C2 | semidirect |
| 4. #10601603 | C2 | semidirect |
| 5. #10601592 | C2 | semidirect |
| 6. C5×#1308 | C2 | semidirect |
| 7. #10598245 | C2 | semidirect |
| 94. #1308 | D5 | semidirect |
| 380. C5 | #9532 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611077 | 2 |
| #10611057 | 2 |
| #10601620 | 2 |
| #10601603 | 2 |
| #10601592 | 2 |
| C5×#1308 | 2 |
| #10598245 | 2 |
| #9532 | 5 |