Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
524 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 86 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. C5×#4751 | C2 | semidirect |
| 3. #11749372 | C2 | semidirect |
| 4. #11746298 | C2 | semidirect |
| 5. C3×#64697 | C2 | semidirect |
| 6. #11746014 | C2 | semidirect |
| 7. #11746012 | C2 | semidirect |
| 22. C3×C5×#101 | C22 | semidirect |
| 23. #91120 | C22 | semidirect |
| 24. C5×#836 | C22 | semidirect |
| 26. C3×#3968 | C22 | semidirect |
| 35. #64697 | D3 | semidirect |
| 73. #4751 | D5 | semidirect |
| 92. C5×#101 | C2×D3 | semidirect |
| 95. #3968 | C2×D3 | semidirect |
| 148. C3×#101 | C2×D5 | semidirect |
| 150. #836 | C2×D5 | semidirect |
| 303. #101 | D3×D5 | semidirect |
| 405. C3×C5 | #2134 | semidirect |
| 477. C5 | #69166 | semidirect |
| 499. C3 | #10600942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11755279 | 2 |
| C5×#4751 | 2 |
| #11749372 | 2 |
| #11746298 | 2 |
| C3×#64697 | 2 |
| #11746014 | 2 |
| #11746012 | 2 |
| #10600942 | 3 |
| #69166 | 5 |