Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
672 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 672 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 |
|---|---|---|
| 1. #11752745 | C2 | semidirect |
| 2. #11750944 | C2 | semidirect |
| 3. #11747037 | C2 | semidirect |
| 4. #11747035 | C2 | semidirect |
| 5. C5×#4483 | C2 | semidirect |
| 6. C3×#64705 | C2 | semidirect |
| 7. #11745838 | C2 | semidirect |
| 12. #91763 | C22 | semidirect |
| 21. C3×C5×C4⋊C8 | C22 | semidirect |
| 23. C4×C5×C3⋊C8 | C22 | semidirect |
| 24. C3×C4⋊#168 | C22 | semidirect |
| 32. #64705 | D3 | semidirect |
| 69. #4483 | D5 | semidirect |
| 82. C5×C4⋊C8 | C2×D3 | semidirect |
| 86. C4⋊#168 | C2×D3 | semidirect |
| 105. D60 | D8 | semidirect |
| 110. C5×D12 | D8 | semidirect |
| 136. C3×C4⋊C8 | C2×D5 | semidirect |
| 139. C4×C3⋊C8 | C2×D5 | semidirect |
| 274. C4⋊C8 | D3×D5 | semidirect |
| 312. D12 | D40 | semidirect |
| 370. C3×C5 | #1619 | semidirect |
| 441. C5 | #68390 | semidirect |
| 463. C3 | #10598987 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752745 | 2 |
| #11750944 | 2 |
| #11747037 | 2 |
| #11747035 | 2 |
| C5×#4483 | 2 |
| C3×#64705 | 2 |
| #11745838 | 2 |
| #10598987 | 3 |
| #68390 | 5 |