Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
340 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 1. D8×Dic15 | C2 | semidirect |
| 2. C2×C5×#827 | C2 | semidirect |
| 4. #11747980 | C2 | semidirect |
| 5. #11745928 | C2 | semidirect |
| 6. #11745900 | C2 | semidirect |
| 7. #11745892 | C2 | semidirect |
| 53. C2×#827 | D5 | semidirect |
| 246. C3×C5 | #2210 | semidirect |
| 287. C5 | #71463 | semidirect |
| 301. C3 | #10602270 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D8×Dic15 | 2 |
| C2×C5×#827 | 2 |
| C2×C3×#3958 | 2 |
| #11747980 | 2 |
| #11745928 | 2 |
| #11745900 | 2 |
| #11745892 | 2 |
| #10602270 | 3 |
| #71463 | 5 |