Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
492 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 189 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. C4×#92495 | C2 | semidirect |
| 3. #14521162 | C2 | semidirect |
| 4. #14521157 | C2 | semidirect |
| 5. #14521151 | C2 | semidirect |
| 6. #14521087 | C2 | semidirect |
| 7. #14521046 | C2 | semidirect |
| 8. C2×C31×#97 | C2 | semidirect |
| 16. #11758481 | C4 | semidirect |
| 33. #92495 | C2×C4 | semidirect |
| 39. C2×C8×C31 | C2×C4 | semidirect |
| 51. Dic124 | C2×C4 | semidirect |
| 52. D248 | C2×C4 | semidirect |
| 53. #92470 | C2×C4 | semidirect |
| 93. C2×#97 | D31 | semidirect |
| 118. C31 | #2943 | semidirect |
| 132. 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 |
| C4×#92495 | 2 |
| #14521162 | 2 |
| #14521157 | 2 |
| #14521151 | 2 |
| #14521087 | 2 |
| #14521046 | 2 |
| C2×C31×#97 | 2 |
| #2943 | 31 |