Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1248 conjugacy classes of subgroups; only the 442 normal subgroups are shown.
This group has 1248 conjugacy classes of subgroups — too many to draw. Only its 442 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×C5×#383 | C2 | semidirect |
| 3. C5×#4937 | C2 | semidirect |
| 5. C5×#4651 | C2 | semidirect |
| 11. C42×C5×D3 | C4 | semidirect |
| 15. D3×#383 | C5 | direct (N × H) |
| 19. C5×#383 | D3 | direct (N × H) |
| 29. C3×C42×C5 | C2×C4 | semidirect |
| 30. C4×C5×Dic3 | C2×C4 | semidirect |
| 32. C3×#383 | C2×C5 | semidirect |
| 33. #4937 | C2×C5 | semidirect |
| 35. #4651 | C2×C5 | semidirect |
| 60. C42×D3 | C4×C5 | semidirect |
| 73. C42×C5 | C4×D3 | semidirect |
| 77. #383 | C5×D3 | direct (N × H) |
| 95. C3×C42 | C2×C4×C5 | semidirect |
| 96. C4×Dic3 | C2×C4×C5 | semidirect |
| 118. C5×D3 | #383 | direct (N × H) |
| 147. C42 | C4×C5×D3 | semidirect |
| 148. C3×C5 | C2×#383 | semidirect |
| 173. D3 | C5×#383 | direct (N × H) |
| 174. C5 | D3×#383 | direct (N × H) |
| 183. C3 | C2×C5×#383 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C42×C5×D3 | 2 |
| C3×C5×#383 | 2 |
| C5×#4937 | 2 |
| C5×D3×#95 | 2 |
| C5×#4651 | 2 |
| C2×C5×#383 | 3 |
| D3×#383 | 5 |