Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
290 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 91 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×#11758396 | C2 | semidirect |
| 5. C4⋊C4×Dic31 | C2 | semidirect |
| 6. #14520803 | C2 | semidirect |
| 7. C31×#340 | C2 | semidirect |
| 20. #11758397 | C4 | semidirect |
| 116. #340 | D31 | semidirect |
| 140. C31 | #1926 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758396 | 2 |
| C2×#11758409 | 2 |
| C2×#11758397 | 2 |
| #14520950 | 2 |
| C4⋊C4×Dic31 | 2 |
| #14520803 | 2 |
| C31×#340 | 2 |
| #1926 | 31 |