Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
480 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 4. #11746560 | C2 | direct (N × H) |
| 227. C2×C3×C5 | #356 | semidirect |
| 294. C3×C5 | C2×#356 | semidirect |
| 309. C2×C5 | #4478 | semidirect |
| 339. C2×C3 | #64929 | semidirect |
| 341. C5 | C2×#4478 | semidirect |
| 354. C3 | C2×#64929 | semidirect |
| 357. C2 | #11746560 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91385 | 2 |
| C2×#91234 | 2 |
| C2×C3×#4005 | 2 |
| #11746560 | 2 |
| C2×#64929 | 3 |
| C2×#4478 | 5 |