Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
484 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 175 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. #14521531 | C2 | semidirect |
| 3. #14521162 | C2 | semidirect |
| 4. #14521160 | C2 | semidirect |
| 5. #14521156 | C2 | semidirect |
| 6. C4×#92481 | C2 | semidirect |
| 7. #14521134 | C2 | semidirect |
| 8. #106×D31 | C2 | semidirect |
| 9. #14521049 | C2 | semidirect |
| 10. #14521006 | C2 | semidirect |
| 11. C31×#441 | C2 | semidirect |
| 17. #11758496 | C4 | semidirect |
| 42. #92499 | C2×C4 | semidirect |
| 50. Q16×C31 | C2×C4 | semidirect |
| 57. #92481 | C2×C4 | semidirect |
| 69. D248 | C2×C4 | semidirect |
| 71. C8×D31 | C2×C4 | semidirect |
| 116. #441 | D31 | semidirect |
| 154. C31 | #2952 | semidirect |
| 165. Q16 | C4×D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758496 | 2 |
| #14521531 | 2 |
| #14521162 | 2 |
| #14521160 | 2 |
| #14521156 | 2 |
| C4×#92481 | 2 |
| #14521134 | 2 |
| #106×D31 | 2 |
| #14521049 | 2 |
| #14521006 | 2 |
| C31×#441 | 2 |
| #2952 | 31 |