Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
386 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14521703 | C2 | semidirect |
| 2. #14521445 | C2 | semidirect |
| 3. #14521373 | C2 | semidirect |
| 4. #14521365 | C2 | semidirect |
| 5. #14521336 | C2 | semidirect |
| 6. #14521329 | C2 | semidirect |
| 7. #14521300 | C2 | semidirect |
| 8. C4×#92479 | C2 | semidirect |
| 9. #14521127 | C2 | semidirect |
| 10. #14521092 | C2 | semidirect |
| 11. C31×#555 | C2 | semidirect |
| 101. C31⋊C8 | #41 | semidirect |
| 122. #555 | D31 | semidirect |
| 168. C31 | #3354 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521703 | 2 |
| #14521445 | 2 |
| #14521373 | 2 |
| #14521365 | 2 |
| #14521336 | 2 |
| #14521329 | 2 |
| #14521300 | 2 |
| C4×#92479 | 2 |
| #14521127 | 2 |
| #14521092 | 2 |
| C31×#555 | 2 |
| #3354 | 31 |