Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
440 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 209 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 |
|---|---|---|
| 3. #14521098 | C2 | semidirect |
| 4. #14521096 | C2 | semidirect |
| 5. C2×#11758410 | C2 | semidirect |
| 6. #108×D31 | C2 | semidirect |
| 7. C31×#430 | C2 | semidirect |
| 76. #430 | D31 | semidirect |
| 98. C31 | #2916 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521815 | 2 |
| C2×#11758484 | 2 |
| #14521098 | 2 |
| #14521096 | 2 |
| C2×#11758410 | 2 |
| #108×D31 | 2 |
| C31×#430 | 2 |
| #2916 | 31 |