Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#11758481 | C2 | semidirect |
| 2. #14521704 | C2 | semidirect |
| 3. #14521429 | C2 | semidirect |
| 4. #14521290 | C2 | semidirect |
| 5. #14521255 | C2 | semidirect |
| 6. #14521213 | C2 | semidirect |
| 7. C4×D248 | C2 | semidirect |
| 8. C8×D4×C31 | C2 | semidirect |
| 53. D248 | D4 | semidirect |
| 86. C4×C31 | #135 | semidirect |
| 98. C8×D4 | D31 | semidirect |
| 124. C31 | #3283 | semidirect |
| 183. C4 | #11758481 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758481 | 2 |
| #14521704 | 2 |
| #14521429 | 2 |
| #14521290 | 2 |
| #14521255 | 2 |
| #14521213 | 2 |
| C4×D248 | 2 |
| C8×D4×C31 | 2 |
| #3283 | 31 |