Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
362 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 2. C2×#11758396 | C2 | semidirect |
| 4. #14520945 | C2 | semidirect |
| 5. #14520812 | C2 | semidirect |
| 6. #14520803 | C2 | semidirect |
| 21. #11758420 | C4 | semidirect |
| 48. C4⋊Dic31 | C2×C4 | semidirect |
| 55. C2×C31⋊C8 | C2×C4 | semidirect |
| 67. D4×C31 | C4⋊C4 | semidirect |
| 147. C31 | #1864 | semidirect |
| 191. D4 | Dic31⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×Dic31 | 2 |
| C2×#11758396 | 2 |
| C2×#11758420 | 2 |
| #14520945 | 2 |
| #14520812 | 2 |
| #14520803 | 2 |
| C2×C31×#102 | 2 |
| #1864 | 31 |