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. C3×#65226 | C2 | semidirect |
| 5. C3×#64940 | C2 | semidirect |
| 6. D5×#383 | C3 | direct (N × H) |
| 11. C3×C42×D5 | C4 | semidirect |
| 17. C5×#383 | C2×C3 | semidirect |
| 18. #65226 | C2×C3 | semidirect |
| 20. #64940 | C2×C3 | semidirect |
| 29. C3×C42×C5 | C2×C4 | semidirect |
| 30. C3×C4×Dic5 | C2×C4 | semidirect |
| 34. C3×#383 | D5 | direct (N × H) |
| 40. C42×D5 | C3×C4 | semidirect |
| 72. C42×C5 | C2×C3×C4 | semidirect |
| 73. C4×Dic5 | C2×C3×C4 | semidirect |
| 77. #383 | C3×D5 | direct (N × H) |
| 96. C3×C42 | C4×D5 | semidirect |
| 118. C3×D5 | #383 | direct (N × H) |
| 147. C42 | C3×C4×D5 | semidirect |
| 148. C3×C5 | C2×#383 | semidirect |
| 159. D5 | C3×#383 | direct (N × H) |
| 174. C5 | C2×C3×#383 | semidirect |
| 183. C3 | D5×#383 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C42×D5 | 2 |
| C3×C5×#383 | 2 |
| C3×#65226 | 2 |
| C3×D5×#95 | 2 |
| C3×#64940 | 2 |
| D5×#383 | 3 |
| C2×C3×#383 | 5 |