Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
144 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 43 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×#11758416 | C2 | semidirect |
| 2. #14521467 | C2 | semidirect |
| 3. #14521321 | C2 | semidirect |
| 5. #14520878 | C2 | semidirect |
| 6. #14520863 | C2 | semidirect |
| 7. C31×#362 | C2 | semidirect |
| 73. #362 | D31 | semidirect |
| 94. C31 | #2223 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758416 | 2 |
| #14521467 | 2 |
| #14521321 | 2 |
| #14521320 | 2 |
| #14520878 | 2 |
| #14520863 | 2 |
| C31×#362 | 2 |
| #2223 | 31 |