Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
154 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 49 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×#11758417 | C2 | semidirect |
| 5. #14520874 | C2 | semidirect |
| 6. #14520854 | C2 | semidirect |
| 7. C31×#358 | C2 | semidirect |
| 60. C2×D31 | Q32 | semidirect |
| 74. #358 | D31 | semidirect |
| 92. C31 | #2216 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758417 | 2 |
| C2×C16×D31 | 2 |
| #14521291 | 2 |
| #14521287 | 2 |
| #14520874 | 2 |
| #14520854 | 2 |
| C31×#358 | 2 |
| #2216 | 31 |