Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
146 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14521465 | C2 | semidirect |
| 3. #14520870 | C2 | semidirect |
| 4. #14520832 | C2 | semidirect |
| 5. C4×C16×C31 | C2 | semidirect |
| 52. C4×C16 | D31 | semidirect |
| 66. C31 | #2170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521465 | 2 |
| #14521167 | 2 |
| #14520870 | 2 |
| #14520832 | 2 |
| C4×C16×C31 | 2 |
| #2170 | 31 |