Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
616 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 92 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. #11750942 | C2 | semidirect |
| 3. #11746964 | C2 | semidirect |
| 4. #11746890 | C2 | semidirect |
| 5. C5×#4483 | C2 | semidirect |
| 6. C3×#64705 | C2 | semidirect |
| 7. #11745838 | C2 | semidirect |
| 13. #91758 | C22 | semidirect |
| 19. C3×C5×C4⋊C8 | C22 | semidirect |
| 21. C4×C5×C3⋊C8 | C22 | semidirect |
| 22. C3×C4⋊#168 | C22 | semidirect |
| 32. #64705 | D3 | semidirect |
| 67. #4483 | D5 | semidirect |
| 78. C5×C4⋊C8 | C2×D3 | semidirect |
| 84. C4⋊#168 | C2×D3 | semidirect |
| 105. C5×D12 | SD16 | semidirect |
| 129. C3×C4⋊C8 | C2×D5 | semidirect |
| 134. C4×C3⋊C8 | C2×D5 | semidirect |
| 259. C4⋊C8 | D3×D5 | semidirect |
| 292. D12 | #677 | semidirect |
| 348. C3×C5 | #1639 | semidirect |
| 412. C5 | #68392 | semidirect |
| 432. C3 | #10598975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752745 | 2 |
| #11750942 | 2 |
| #11746964 | 2 |
| #11746890 | 2 |
| C5×#4483 | 2 |
| C3×#64705 | 2 |
| #11745838 | 2 |
| #10598975 | 3 |
| #68392 | 5 |