Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
478 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 140 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 |
|---|---|---|
| 25. C5×C4⋊Q8 | C8 | semidirect |
| 138. C4⋊Q8 | #170 | semidirect |
| 253. C5 | #7588 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Dic5×C4⋊Q8 | 2 |
| #10604185 | 2 |
| #10604173 | 2 |
| #10598713 | 2 |
| #7588 | 5 |