Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
464 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 464 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 |
|---|---|---|
| 1. #10611046 | C2 | semidirect |
| 5. #10601595 | C2 | semidirect |
| 6. C5×#1290 | C2 | semidirect |
| 7. #10598197 | C2 | semidirect |
| 89. #1290 | D5 | semidirect |
| 390. C5 | #9244 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611046 | 2 |
| C2×#65134 | 2 |
| #10601621 | 2 |
| #10601597 | 2 |
| #10601595 | 2 |
| C5×#1290 | 2 |
| #10598197 | 2 |
| #9244 | 5 |