Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
402 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 3. C2×#11758423 | C2 | semidirect |
| 5. #14520811 | C2 | semidirect |
| 6. #14520804 | C2 | semidirect |
| 7. C31×#391 | C2 | semidirect |
| 15. C2×#92481 | C4 | semidirect |
| 32. C2×Q8×C31 | C2×C4 | semidirect |
| 61. C2×C31⋊C8 | C2×C4 | semidirect |
| 85. C2×C4×C31 | SD16 | semidirect |
| 130. #391 | D31 | semidirect |
| 159. C31 | #1877 | semidirect |
| 166. C2×Q8 | C4×D31 | semidirect |
| 227. C2×C4 | #92481 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#92481 | 2 |
| C2×C4×D124 | 2 |
| C2×#11758423 | 2 |
| C2×#11758397 | 2 |
| #14520811 | 2 |
| #14520804 | 2 |
| C31×#391 | 2 |
| #1877 | 31 |