Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
704 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 237 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 |
|---|---|---|
| 3. #14520947 | C2 | semidirect |
| 4. #14520920 | C2 | semidirect |
| 5. #14520915 | C2 | semidirect |
| 6. #14520908 | C2 | semidirect |
| 7. #95×D31 | C2 | semidirect |
| 8. C4×C4⋊C4×C31 | C2 | semidirect |
| 21. C4×D124 | C4 | semidirect |
| 42. C2×C4×D31 | C2×C4 | semidirect |
| 45. C42×C31 | C2×C4 | semidirect |
| 47. (C2×D31)⋊C4 | C2×C4 | semidirect |
| 49. C4⋊Dic31 | C2×C4 | semidirect |
| 75. D124 | C4⋊C4 | semidirect |
| 102. C4×C4⋊C4 | D31 | semidirect |
| 128. C31 | #2349 | semidirect |
| 152. C42 | C4×D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D124 | 2 |
| #14520947 | 2 |
| #14520920 | 2 |
| #14520915 | 2 |
| #14520908 | 2 |
| #95×D31 | 2 |
| C4×C4⋊C4×C31 | 2 |
| #2349 | 31 |