Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
456 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 213 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. #14520948 | C2 | semidirect |
| 3. #14520935 | C2 | semidirect |
| 5. #14520919 | C2 | semidirect |
| 6. #14520917 | C2 | semidirect |
| 9. C31×#126 | C4 | semidirect |
| 30. C4⋊C4×C31 | C2×C4 | semidirect |
| 32. C42×C31 | C2×C4 | semidirect |
| 81. #126 | Dic31 | semidirect |
| 94. C31 | #2383 | semidirect |
| 106. C4⋊C4 | C2×Dic31 | semidirect |
| 110. C42 | C2×Dic31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14520948 | 2 |
| #14520942 | 2 |
| #14520935 | 2 |
| #14520924 | 2 |
| #14520919 | 2 |
| #14520917 | 2 |
| C2×C31×#126 | 2 |
| #2383 | 31 |