Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
616 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 616 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 |
|---|---|---|
| 2. C5×#4841 | C2 | semidirect |
| 3. #11746912 | C2 | semidirect |
| 4. #11746886 | C2 | semidirect |
| 5. #11746306 | C2 | semidirect |
| 6. C3×#64703 | C2 | semidirect |
| 7. #11745837 | C2 | semidirect |
| 14. C5×#869 | C22 | semidirect |
| 19. C3×C5×C4⋊C8 | C22 | semidirect |
| 20. C4⋊(C3⋊#168) | C22 | semidirect |
| 22. C3×C4×#168 | C22 | semidirect |
| 33. #64703 | D3 | semidirect |
| 63. #4841 | D5 | semidirect |
| 78. C5×C4⋊C8 | C2×D3 | semidirect |
| 84. C4×#168 | C2×D3 | semidirect |
| 110. C3×D20 | SD16 | semidirect |
| 127. #869 | C2×D5 | semidirect |
| 128. C3×C4⋊C8 | C2×D5 | semidirect |
| 241. D20 | #204 | semidirect |
| 259. C4⋊C8 | D3×D5 | semidirect |
| 348. C3×C5 | #1639 | semidirect |
| 412. C5 | #68182 | semidirect |
| 432. C3 | #10601837 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D12×D20 | 2 |
| C5×#4841 | 2 |
| #11746912 | 2 |
| #11746886 | 2 |
| #11746306 | 2 |
| C3×#64703 | 2 |
| #11745837 | 2 |
| #10601837 | 3 |
| #68182 | 5 |