Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
376 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 142. C5×Q8 | #108 | semidirect |
| 284. Q8 | #3996 | semidirect |
| 313. C5 | #8907 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×#700 | 2 |
| #10604439 | 2 |
| #10604037 | 2 |
| #10603818 | 2 |
| D5×Q8⋊C8 | 2 |
| #10598597 | 2 |
| #10598531 | 2 |
| #8907 | 5 |