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. #11751184 | C2 | semidirect |
| 3. C5×#5087 | C2 | semidirect |
| 4. C3×#65377 | C2 | semidirect |
| 5. #11745852 | C2 | semidirect |
| 6. #11745839 | C2 | semidirect |
| 7. #11745837 | C2 | semidirect |
| 11. C3×C5×C4⋊Q8 | C22 | semidirect |
| 20. C4⋊(C3⋊#168) | C22 | semidirect |
| 23. C5×C4⋊(C3⋊C8) | C22 | semidirect |
| 25. C3×C4×#168 | C22 | semidirect |
| 29. #65377 | D3 | semidirect |
| 63. #5087 | D5 | semidirect |
| 70. C5×C4⋊Q8 | C2×D3 | semidirect |
| 84. C4×#168 | C2×D3 | semidirect |
| 105. C5×D12 | SD16 | semidirect |
| 120. C3×C4⋊Q8 | C2×D5 | semidirect |
| 134. C4⋊(C3⋊C8) | C2×D5 | semidirect |
| 250. C4⋊Q8 | D3×D5 | semidirect |
| 294. D12 | #688 | semidirect |
| 348. C3×C5 | #1639 | semidirect |
| 412. C5 | #71198 | semidirect |
| 432. C3 | #10601901 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752745 | 2 |
| #11751184 | 2 |
| C5×#5087 | 2 |
| C3×#65377 | 2 |
| #11745852 | 2 |
| #11745839 | 2 |
| #11745837 | 2 |
| #10601901 | 3 |
| #71198 | 5 |