Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
120 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 39 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. #11758523 | C2 | semidirect |
| 2. C2×#92481 | C2 | semidirect |
| 3. C2×#92469 | C2 | semidirect |
| 5. C31×#103 | C2 | semidirect |
| 6. #11758409 | C2 | semidirect |
| 7. #11758395 | C2 | semidirect |
| 36. C31⋊C8 | D4 | semidirect |
| 61. #103 | D31 | semidirect |
| 63. C31 | #468 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11758523 | 2 |
| C2×#92481 | 2 |
| C2×#92469 | 2 |
| #11758472 | 2 |
| C31×#103 | 2 |
| #11758409 | 2 |
| #11758395 | 2 |
| #468 | 31 |