Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
360 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 72 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 |
|---|---|---|
| 336. C5 | #9336 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617276 | 2 |
| #10613194 | 2 |
| #10604519 | 2 |
| #10604298 | 2 |
| #10604267 | 2 |
| #10598566 | 2 |
| #10598564 | 2 |
| #9336 | 5 |