Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
448 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 86 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. D3×#3996 | C2 | semidirect |
| 3. D3×D5⋊C16 | C2 | semidirect |
| 4. #11746776 | C2 | semidirect |
| 5. C3×#64905 | C2 | semidirect |
| 6. #11746462 | C2 | semidirect |
| 7. #11746460 | C2 | semidirect |
| 21. #91225 | C22 | semidirect |
| 22. D5⋊(C3⋊C16) | C22 | semidirect |
| 23. C3×#3996 | C22 | semidirect |
| 24. C3×D5⋊C16 | C22 | semidirect |
| 35. #64905 | D3 | direct (N × H) |
| 91. #3996 | C2×D3 | semidirect |
| 94. D5⋊C16 | C2×D3 | semidirect |
| 283. C5×D3 | #359 | semidirect |
| 359. C3×C5 | C2×#359 | semidirect |
| 413. D3 | #64905 | direct (N × H) |
| 414. C5 | D3×#359 | semidirect |
| 428. C3 | C2×#64905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D3×#4058 | 2 |
| D3×#3996 | 2 |
| D3×D5⋊C16 | 2 |
| #11746776 | 2 |
| C3×#64905 | 2 |
| #11746462 | 2 |
| #11746460 | 2 |
| C2×#64905 | 3 |
| D3×#359 | 5 |