Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
512 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 512 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. C2×#91112 | C2 | semidirect |
| 3. C2×C5×#828 | C2 | semidirect |
| 4. C3×#65477 | C2 | semidirect |
| 5. #11745895 | C2 | semidirect |
| 6. #11745893 | C2 | semidirect |
| 7. #11745879 | C2 | semidirect |
| 10. C2×C3×C5×Q16 | C22 | semidirect |
| 19. C2×C3⋊#672 | C22 | semidirect |
| 21. C2×C5×C3⋊C16 | C22 | semidirect |
| 23. C3×#3950 | C22 | semidirect |
| 27. #65477 | D3 | semidirect |
| 59. C2×#828 | D5 | semidirect |
| 64. C2×C5×Q16 | C2×D3 | semidirect |
| 76. #3950 | C2×D3 | semidirect |
| 102. C2×C3×Q16 | C2×D5 | semidirect |
| 115. C2×C3⋊C16 | C2×D5 | semidirect |
| 156. C2×C3×D5 | SD32 | semidirect |
| 210. C2×Q16 | D3×D5 | semidirect |
| 262. C2×D5 | #828 | semidirect |
| 292. C3×C5 | #2187 | semidirect |
| 343. C5 | #71085 | semidirect |
| 360. C3 | #10602278 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D5×D24 | 2 |
| C2×#91112 | 2 |
| C2×C5×#828 | 2 |
| C3×#65477 | 2 |
| #11745895 | 2 |
| #11745893 | 2 |
| #11745879 | 2 |
| #10602278 | 3 |
| #71085 | 5 |