Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
332 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 3. #11750931 | C2 | semidirect |
| 5. #11746301 | C2 | semidirect |
| 6. #11746277 | C2 | semidirect |
| 7. #11746275 | C2 | semidirect |
| 85. Dic30 | M16 | semidirect |
| 92. C3⋊#168 | SD16 | semidirect |
| 252. C3×C5 | #1583 | semidirect |
| 293. C5 | #68155 | semidirect |
| 306. C3 | #10598948 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#6716 | 2 |
| #11751113 | 2 |
| #11750931 | 2 |
| C3×C5×D4⋊C8 | 2 |
| #11746301 | 2 |
| #11746277 | 2 |
| #11746275 | 2 |
| #10598948 | 3 |
| #68155 | 5 |