Finite Group DatabasebetaFinite Group DatabasebetaOrder 640.
254 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 17. #3967 | C4 | semidirect |
| 186. C5 | #1927 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#103 | 2 |
| #65519 | 2 |
| C2×#3967 | 2 |
| C4⋊C4×Dic5 | 2 |
| C2×#3940 | 2 |
| #64771 | 2 |
| #64770 | 2 |
| #1927 | 5 |