Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
652 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 652 conjugacy classes of subgroups — too many to draw. Only its 229 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×#11758449 | C2 | semidirect |
| 4. #14520947 | C2 | semidirect |
| 5. #14520940 | C2 | semidirect |
| 6. C4×C4⋊Dic31 | C2 | semidirect |
| 7. C4×(C2×D31)⋊C4 | C2 | semidirect |
| 8. C43×C31 | C2 | semidirect |
| 23. C4×D124 | C4 | semidirect |
| 44. C42×C31 | D4 | semidirect |
| 93. C4×C31 | #117 | semidirect |
| 104. C43 | D31 | semidirect |
| 129. C31 | #2293 | semidirect |
| 154. C42 | D124 | semidirect |
| 197. C4 | #11758449 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D124 | 2 |
| C2×#11758449 | 2 |
| #14520951 | 2 |
| #14520947 | 2 |
| #14520940 | 2 |
| C4×C4⋊Dic31 | 2 |
| C4×(C2×D31)⋊C4 | 2 |
| C43×C31 | 2 |
| #2293 | 31 |