Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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. D4×Dic31 | C2 | semidirect |
| 5. #11758423 | C2 | semidirect |
| 6. #11758409 | C2 | semidirect |
| 7. Dic31⋊C8 | C2 | semidirect |
| 56. C2×SD16 | D31 | semidirect |
| 63. C31 | #463 | 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 |
| D4×Dic31 | 2 |
| C2×#92479 | 2 |
| #11758423 | 2 |
| #11758409 | 2 |
| Dic31⋊C8 | 2 |
| #463 | 31 |