Finite Group DatabasebetaFinite Group DatabasebetaOrder 640.
298 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 212. C5 | #2043 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#4090 | 2 |
| C2×C5×#103 | 2 |
| C2×#3967 | 2 |
| C2×#3948 | 2 |
| #65274 | 2 |
| C2×#3942 | 2 |
| #64770 | 2 |
| #2043 | 5 |