Finite Group DatabasebetaFinite Group DatabasebetaOrder 640.
484 conjugacy classes of subgroups; only the 206 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 206 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 |
|---|---|---|
| 3. #65708 | C2 | semidirect |
| 4. #65681 | C2 | semidirect |
| 5. D5⋊(C4⋊C8) | C2 | semidirect |
| 79. C4×C5 | #131 | semidirect |
| 121. C5 | #2906 | semidirect |
| 132. C4 | #4133 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#4133 | 2 |
| C4×#713 | 2 |
| #65708 | 2 |
| #65681 | 2 |
| D5⋊(C4⋊C8) | 2 |
| #2906 | 5 |