Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
144 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 43 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×SD16×C31 | C2 | semidirect |
| 2. #11758524 | C2 | semidirect |
| 3. C2×#92481 | C2 | semidirect |
| 4. #11758517 | C2 | semidirect |
| 5. C2×#92479 | C2 | semidirect |
| 6. C2×D248 | C2 | semidirect |
| 7. #11758403 | C2 | semidirect |
| 36. C8×C31 | D4 | semidirect |
| 37. C31⋊C8 | D4 | semidirect |
| 56. C2×SD16 | D31 | semidirect |
| 62. C31 | #496 | semidirect |
| 92. C8 | C22⋊D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×SD16×C31 | 2 |
| #11758524 | 2 |
| C2×#92481 | 2 |
| #11758517 | 2 |
| C2×#92479 | 2 |
| C2×D248 | 2 |
| #11758403 | 2 |
| #496 | 31 |