Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
1408 conjugacy classes of subgroups; only the 549 normal subgroups are shown.
This group has 1408 conjugacy classes of subgroups — too many to draw. Only its 549 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×#11758567 | C2 | semidirect |
| 2. #14521866 | C2 | direct (N × H) |
| 3. C2×#11758486 | C2 | semidirect |
| 4. C2×#11758481 | C2 | semidirect |
| 5. C22×Dic124 | C2 | semidirect |
| 6. C2×C31×#131 | C2 | semidirect |
| 9. #11758567 | C22 | semidirect |
| 14. C31×#131 | C22 | semidirect |
| 17. #11758486 | C22 | semidirect |
| 20. C2×Dic124 | C22 | semidirect |
| 21. #11758481 | C22 | semidirect |
| 83. C2×#131 | D31 | semidirect |
| 85. C2×C31 | #578 | semidirect |
| 102. #131 | C2×D31 | semidirect |
| 105. C31 | C2×#578 | semidirect |
| 161. C2 | #14521866 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758567 | 2 |
| #14521866 | 2 |
| C2×#11758486 | 2 |
| C2×#11758481 | 2 |
| C22×Dic124 | 2 |
| C2×C31×#131 | 2 |
| C2×#578 | 31 |