Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
628 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 628 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×#64982 | C2 | semidirect |
| 3. #11746942 | C2 | semidirect |
| 4. #11746882 | C2 | semidirect |
| 5. #11746280 | C2 | semidirect |
| 6. C5×#4459 | C2 | semidirect |
| 7. #11745852 | C2 | semidirect |
| 15. C3×#4015 | C22 | semidirect |
| 19. C3×C4×C5×C8 | C22 | semidirect |
| 20. C4⋊(C3⋊#168) | C22 | semidirect |
| 21. C5×C4⋊(C3⋊C8) | C22 | semidirect |
| 30. #64982 | D3 | semidirect |
| 67. #4459 | D5 | semidirect |
| 77. #4015 | C2×D3 | semidirect |
| 79. C4×C5×C8 | C2×D3 | semidirect |
| 97. D60 | SD16 | semidirect |
| 102. C5×D12 | SD16 | semidirect |
| 127. C3×C4×C8 | C2×D5 | semidirect |
| 133. C4⋊(C3⋊C8) | C2×D5 | semidirect |
| 261. C4×C8 | D3×D5 | semidirect |
| 291. D12 | #677 | semidirect |
| 345. C3×C5 | #1629 | semidirect |
| 408. C5 | #71266 | semidirect |
| 428. C3 | #10598988 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752745 | 2 |
| C3×#64982 | 2 |
| #11746942 | 2 |
| #11746882 | 2 |
| #11746280 | 2 |
| C5×#4459 | 2 |
| #11745852 | 2 |
| #10598988 | 3 |
| #71266 | 5 |