Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
512 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 99 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×#467 | C2 | semidirect |
| 3. C2×#91112 | C2 | semidirect |
| 4. #11746370 | C2 | semidirect |
| 5. #11746312 | C2 | semidirect |
| 8. C2×C3×C5×Q16 | C22 | semidirect |
| 14. C3×C5×#107 | C22 | semidirect |
| 17. C2×C3⋊#672 | C22 | semidirect |
| 20. C5×#467 | D3 | semidirect |
| 43. C3×#467 | D5 | semidirect |
| 48. C2×C5×Q16 | C2×D3 | semidirect |
| 54. C5×#107 | C2×D3 | semidirect |
| 78. C2×C3×Q16 | C2×D5 | semidirect |
| 84. C3×#107 | C2×D5 | semidirect |
| 108. #467 | D15 | semidirect |
| 113. C22×C3×C5 | SD32 | semidirect |
| 161. C2×Q16 | C2×D15 | semidirect |
| 169. #107 | C2×D15 | semidirect |
| 196. C22×C5 | #828 | semidirect |
| 225. C3×C5 | #2187 | semidirect |
| 228. C22×C3 | #3960 | semidirect |
| 267. C5 | #71085 | semidirect |
| 274. C22 | #91112 | semidirect |
| 281. C3 | #10601878 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D120 | 2 |
| C3×C5×#467 | 2 |
| C2×#91112 | 2 |
| #11746370 | 2 |
| #11746312 | 2 |
| #10601878 | 3 |
| #71085 | 5 |