Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
708 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 708 conjugacy classes of subgroups — too many to draw. Only its 112 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. C2×#65757 | C2 | semidirect |
| 3. C2×#64925 | C2 | semidirect |
| 4. #10604900 | C2 | semidirect |
| 5. #10598725 | C2 | semidirect |
| 64. #4004 | D4 | semidirect |
| 432. C5 | #9142 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65757 | 2 |
| #10614431 | 2 |
| C2×#64925 | 2 |
| #10604900 | 2 |
| #10598725 | 2 |
| #9142 | 5 |