Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
296 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 2. C2×#11758407 | C2 | semidirect |
| 3. #14521057 | C2 | semidirect |
| 5. C2×#11758412 | C2 | semidirect |
| 7. C31×#405 | C2 | semidirect |
| 18. C2×#92470 | C4 | semidirect |
| 108. #405 | D31 | semidirect |
| 132. C31 | #1977 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#92470 | 2 |
| C2×#11758407 | 2 |
| #14521057 | 2 |
| #14521053 | 2 |
| C2×#11758412 | 2 |
| C2×#11758411 | 2 |
| C31×#405 | 2 |
| #1977 | 31 |