Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
288 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 112 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. #11747524 | C2 | semidirect |
| 3. #11746284 | C2 | semidirect |
| 4. C5×#4461 | C2 | semidirect |
| 5. #11745886 | C2 | semidirect |
| 40. #4461 | D5 | semidirect |
| 164. C3×C5 | #2171 | semidirect |
| 188. C5 | #70924 | semidirect |
| 195. C3 | #10599869 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#64989 | 2 |
| #11747524 | 2 |
| #11746284 | 2 |
| C5×#4461 | 2 |
| #11745886 | 2 |
| #10599869 | 3 |
| #70924 | 5 |