Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
324 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 102 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 |
|---|---|---|
| 1. C2×#91082 | C2 | semidirect |
| 3. C2×#90935 | C2 | semidirect |
| 4. C5×(C2×D3)⋊C16 | C2 | semidirect |
| 5. C3×#64721 | C2 | semidirect |
| 6. #11745881 | C2 | semidirect |
| 7. Dic5×C3⋊C16 | C2 | semidirect |
| 28. #64721 | D3 | semidirect |
| 46. C3⋊#672 | D4 | semidirect |
| 54. (C2×D3)⋊C16 | D5 | semidirect |
| 137. C3×Dic5 | M32 | semidirect |
| 222. Dic5 | #798 | semidirect |
| 242. C3×C5 | #2169 | semidirect |
| 283. C5 | #69279 | semidirect |
| 297. C3 | #10599897 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91082 | 2 |
| C8×#1203 | 2 |
| C2×#90935 | 2 |
| C5×(C2×D3)⋊C16 | 2 |
| C3×#64721 | 2 |
| #11745881 | 2 |
| Dic5×C3⋊C16 | 2 |
| #10599897 | 3 |
| #69279 | 5 |