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. C3×#65135 | C2 | semidirect |
| 3. #11747085 | C2 | semidirect |
| 4. #11746901 | C2 | semidirect |
| 5. #11746304 | C2 | semidirect |
| 6. C5×#4485 | C2 | semidirect |
| 7. #11745834 | C2 | semidirect |
| 14. C3×#4015 | C22 | semidirect |
| 19. C3×C5×C4⋊C8 | C22 | semidirect |
| 20. C4×C3⋊#168 | C22 | semidirect |
| 21. C5×C4⋊(C3⋊C8) | C22 | semidirect |
| 29. #65135 | D3 | semidirect |
| 66. #4485 | D5 | semidirect |
| 77. #4015 | C2×D3 | semidirect |
| 79. C5×C4⋊C8 | C2×D3 | semidirect |
| 108. C3×D20 | SD16 | semidirect |
| 129. C3×C4⋊C8 | C2×D5 | semidirect |
| 133. C4⋊(C3⋊C8) | C2×D5 | semidirect |
| 237. D20 | #215 | semidirect |
| 259. C4⋊C8 | D3×D5 | semidirect |
| 348. C3×C5 | #1639 | semidirect |
| 412. C5 | #71108 | semidirect |
| 432. C3 | #10599185 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752737 | 2 |
| C3×#65135 | 2 |
| #11747085 | 2 |
| #11746901 | 2 |
| #11746304 | 2 |
| C5×#4485 | 2 |
| #11745834 | 2 |
| #10599185 | 3 |
| #71108 | 5 |