Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
144 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14521467 | C2 | semidirect |
| 2. #14521466 | C2 | semidirect |
| 4. #14520869 | C2 | semidirect |
| 5. #14520832 | C2 | semidirect |
| 6. #14520824 | C2 | semidirect |
| 7. C31×#350 | C2 | semidirect |
| 73. #350 | D31 | semidirect |
| 94. C31 | #2171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521467 | 2 |
| #14521466 | 2 |
| #14521164 | 2 |
| #14520869 | 2 |
| #14520832 | 2 |
| #14520824 | 2 |
| C31×#350 | 2 |
| #2171 | 31 |