Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
412 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 149 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. #14521606 | C2 | semidirect |
| 3. #14521447 | C2 | semidirect |
| 4. #14521422 | C2 | semidirect |
| 5. #14521400 | C2 | semidirect |
| 6. #14521396 | C2 | semidirect |
| 7. #14521278 | C2 | semidirect |
| 8. C4×#92470 | C2 | semidirect |
| 9. C2×C4×C8×C31 | C2 | semidirect |
| 71. C2×C4×C31 | SD16 | semidirect |
| 90. C8×C31 | #41 | semidirect |
| 116. C2×C4×C8 | D31 | semidirect |
| 147. C31 | #3167 | semidirect |
| 195. C2×C4 | #92470 | semidirect |
| 203. C8 | #92495 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521606 | 2 |
| #14521599 | 2 |
| #14521447 | 2 |
| #14521422 | 2 |
| #14521400 | 2 |
| #14521396 | 2 |
| #14521278 | 2 |
| C4×#92470 | 2 |
| C2×C4×C8×C31 | 2 |
| #3167 | 31 |