Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
234 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 234 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 |
|---|---|---|
| 1. C4×D4×C31 | C2 | semidirect |
| 3. #11758513 | C2 | semidirect |
| 4. C4×C22⋊D31 | C2 | semidirect |
| 5. #11758503 | C2 | semidirect |
| 6. #11758474 | C2 | semidirect |
| 7. #11758467 | C2 | semidirect |
| 8. #11758460 | C2 | semidirect |
| 9. #11758456 | C2 | semidirect |
| 10. C42×D31 | C2 | semidirect |
| 11. C4×Dic62 | C2 | semidirect |
| 83. C4×D4 | D31 | semidirect |
| 86. C31 | #529 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D4×C31 | 2 |
| #11758515 | 2 |
| #11758513 | 2 |
| C4×C22⋊D31 | 2 |
| #11758503 | 2 |
| #11758474 | 2 |
| #11758467 | 2 |
| #11758460 | 2 |
| #11758456 | 2 |
| C42×D31 | 2 |
| C4×Dic62 | 2 |
| #529 | 31 |