Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14521764 | C2 | semidirect |
| 2. #14521703 | C2 | semidirect |
| 3. #14521447 | C2 | semidirect |
| 4. #14521374 | C2 | semidirect |
| 5. #14521368 | C2 | semidirect |
| 6. #14521340 | C2 | semidirect |
| 7. #14521330 | C2 | semidirect |
| 8. #14521302 | C2 | semidirect |
| 9. C4×D248 | C2 | semidirect |
| 10. #14521091 | C2 | semidirect |
| 11. C31×#436 | C2 | semidirect |
| 101. C8×C31 | #41 | semidirect |
| 131. #436 | D31 | semidirect |
| 168. C31 | #3354 | semidirect |
| 229. C8 | #92497 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521764 | 2 |
| #14521703 | 2 |
| #14521447 | 2 |
| #14521374 | 2 |
| #14521368 | 2 |
| #14521340 | 2 |
| #14521330 | 2 |
| #14521302 | 2 |
| C4×D248 | 2 |
| #14521091 | 2 |
| C31×#436 | 2 |
| #3354 | 31 |