Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
484 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 181 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 |
|---|---|---|
| 2. #14521530 | C2 | semidirect |
| 3. #14521148 | C2 | semidirect |
| 4. #14521143 | C2 | semidirect |
| 5. #14521131 | C2 | semidirect |
| 6. #14521048 | C2 | semidirect |
| 7. #14521004 | C2 | semidirect |
| 8. C2×C31×#107 | C2 | semidirect |
| 16. #11758481 | C4 | semidirect |
| 33. #92495 | C2×C4 | semidirect |
| 38. C2×C8×C31 | C2×C4 | semidirect |
| 52. Dic124 | C2×C4 | semidirect |
| 53. D248 | C2×C4 | semidirect |
| 54. #92470 | C2×C4 | semidirect |
| 96. C2×#107 | D31 | semidirect |
| 124. C31 | #2951 | semidirect |
| 139. C2×C8 | C4×D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758481 | 2 |
| #14521530 | 2 |
| #14521148 | 2 |
| #14521143 | 2 |
| #14521131 | 2 |
| #14521048 | 2 |
| #14521004 | 2 |
| C2×C31×#107 | 2 |
| #2951 | 31 |