Finite Group DatabasebetaFinite Group DatabasebetaOrder 640.
260 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 2. #65680 | C2 | semidirect |
| 3. D5⋊(C4⋊C8) | C2 | semidirect |
| 4. #64871 | C2 | semidirect |
| 148. C5 | #1480 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #66059 | 2 |
| #65680 | 2 |
| D5⋊(C4⋊C8) | 2 |
| #64871 | 2 |
| #1480 | 5 |