Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
234 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×C42×C31 | C2 | semidirect |
| 3. #11758506 | C2 | semidirect |
| 4. C4×C22⋊D31 | C2 | semidirect |
| 5. #11758501 | C2 | semidirect |
| 6. #11758453 | C2 | semidirect |
| 7. #11758452 | C2 | semidirect |
| 8. C4×D124 | C2 | semidirect |
| 9. #11758449 | C2 | semidirect |
| 10. #11758447 | C2 | semidirect |
| 11. C4×Dic62 | C2 | semidirect |
| 85. C2×C42 | 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 |
|---|---|
| C2×C42×C31 | 2 |
| #11758507 | 2 |
| #11758506 | 2 |
| C4×C22⋊D31 | 2 |
| #11758501 | 2 |
| #11758453 | 2 |
| #11758452 | 2 |
| C4×D124 | 2 |
| #11758449 | 2 |
| #11758447 | 2 |
| C4×Dic62 | 2 |
| #529 | 31 |