Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1168 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 1168 conjugacy classes of subgroups — too many to draw. Only its 130 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×#91234 | C2 | semidirect |
| 3. C2×C3×#4005 | C2 | semidirect |
| 4. C2×#91174 | C2 | semidirect |
| 5. #11752000 | C2 | semidirect |
| 29. C2×#4005 | D3 | semidirect |
| 411. C3×C5 | #1785 | semidirect |
| 485. C5 | #70114 | semidirect |
| 507. C3 | #10604951 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6768 | 2 |
| C2×#91234 | 2 |
| C2×C3×#4005 | 2 |
| C2×#91174 | 2 |
| #11752000 | 2 |
| #10604951 | 3 |
| #70114 | 5 |