Finite Group DatabasebetaFinite Group DatabasebetaOrder 640.
402 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 95 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. C2×#3964 | C2 | semidirect |
| 3. C2×#3964 | C2 | semidirect |
| 4. #65217 | C2 | semidirect |
| 5. #64744 | C2 | semidirect |
| 40. C4⋊Dic5 | D4 | semidirect |
| 178. C5 | #2041 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#127 | 2 |
| C2×#3964 | 2 |
| #65217 | 2 |
| #64744 | 2 |
| #2041 | 5 |