Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1486 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 1486 conjugacy classes of subgroups — too many to draw. Only its 169 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×#91954 | C2 | direct (N × H) |
| 3. C22×C5⋊#226 | C2 | semidirect |
| 8. #91954 | C22 | direct (N × H) |
| 9. C2×C5⋊#226 | C22 | semidirect |
| 23. C5⋊#226 | C23 | semidirect |
| 141. C22×C5 | #984 | semidirect |
| 177. C2×C5 | C2×#984 | semidirect |
| 200. C5 | C22×#984 | semidirect |
| 203. C22 | #91954 | direct (N × H) |
| 211. C2 | C2×#91954 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C5×#41⋊C3 | 2 |
| C2×#91954 | 2 |
| C22×C5⋊#226 | 2 |
| C22×#4097 | 3 |
| C22×Dic30 | 4 |
| C22×#984 | 5 |