Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
336 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 4. #11746754 | C2 | semidirect |
| 5. C3×#64881 | C2 | semidirect |
| 6. #11746513 | C2 | semidirect |
| 7. #11746512 | C2 | semidirect |
| 31. #64881 | D3 | semidirect |
| 248. C3×C5 | #1570 | semidirect |
| 289. C5 | #68532 | semidirect |
| 302. C3 | #10603897 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751921 | 2 |
| D3×C4⋊#170 | 2 |
| #11747579 | 2 |
| #11746754 | 2 |
| C3×#64881 | 2 |
| #11746513 | 2 |
| #11746512 | 2 |
| #10603897 | 3 |
| #68532 | 5 |