Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
406 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 73 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×#11758485 | C2 | semidirect |
| 2. C2×#11758526 | C2 | semidirect |
| 3. #14521627 | C2 | semidirect |
| 4. C2×#11758393 | C2 | semidirect |
| 5. #14520951 | C2 | semidirect |
| 6. #14520817 | C2 | semidirect |
| 7. C2×C31×#104 | C2 | semidirect |
| 55. C2×D124 | D4 | semidirect |
| 59. M16×C31 | D4 | semidirect |
| 72. #92474 | D4 | semidirect |
| 149. C2×#104 | D31 | semidirect |
| 183. C31 | #2006 | semidirect |
| 218. M16 | C22⋊D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758485 | 2 |
| C2×#11758526 | 2 |
| #14521627 | 2 |
| C2×#11758393 | 2 |
| #14520951 | 2 |
| #14520817 | 2 |
| C2×C31×#104 | 2 |
| #2006 | 31 |