Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
174 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 55 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×#11758414 | C2 | semidirect |
| 2. C22×C31⋊C16 | C2 | semidirect |
| 3. #14521285 | C2 | semidirect |
| 4. #14520874 | C2 | semidirect |
| 5. #14520850 | C2 | semidirect |
| 6. #14520849 | C2 | semidirect |
| 7. C31×#466 | C2 | semidirect |
| 39. C31⋊C16 | D4 | semidirect |
| 64. C22×C31 | D16 | semidirect |
| 77. #466 | D31 | semidirect |
| 100. C31 | #2215 | semidirect |
| 146. C22 | #11758414 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758414 | 2 |
| C22×C31⋊C16 | 2 |
| #14521285 | 2 |
| #14520874 | 2 |
| #14520850 | 2 |
| #14520849 | 2 |
| C31×#466 | 2 |
| #2215 | 31 |