Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
332 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 97 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. #11752362 | C2 | semidirect |
| 5. #11746752 | C2 | semidirect |
| 6. #11746751 | C2 | semidirect |
| 7. #11746743 | C2 | semidirect |
| 85. C3×Dic10 | M16 | semidirect |
| 90. C3⋊#170 | SD16 | semidirect |
| 175. Dic10 | #208 | semidirect |
| 252. C3×C5 | #1583 | semidirect |
| 293. C5 | #70896 | semidirect |
| 306. C3 | #10603942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752433 | 2 |
| #11752362 | 2 |
| C3×#65047 | 2 |
| D4⋊(C3⋊#170) | 2 |
| #11746752 | 2 |
| #11746751 | 2 |
| #11746743 | 2 |
| #10603942 | 3 |
| #70896 | 5 |