Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
552 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 102 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. #11751922 | C2 | semidirect |
| 3. C4×#6738 | C2 | semidirect |
| 4. D4⋊(C3⋊#170) | C2 | semidirect |
| 5. C3×D4⋊#170 | C2 | semidirect |
| 6. #11746489 | C2 | semidirect |
| 7. #11746488 | C2 | semidirect |
| 35. D4⋊#170 | D3 | semidirect |
| 377. C3×C5 | #1492 | semidirect |
| 443. C5 | #68176 | semidirect |
| 464. C3 | #10604606 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11754775 | 2 |
| #11751922 | 2 |
| C4×#6738 | 2 |
| D4⋊(C3⋊#170) | 2 |
| C3×D4⋊#170 | 2 |
| #11746489 | 2 |
| #11746488 | 2 |
| #10604606 | 3 |
| #68176 | 5 |