Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
476 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 253 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. #14521092 | C2 | semidirect |
| 4. #14521089 | C2 | semidirect |
| 5. #14521085 | C2 | semidirect |
| 6. C2×#11758396 | C2 | semidirect |
| 13. #11758525 | C4 | semidirect |
| 42. #92474 | C2×C4 | semidirect |
| 43. C2×C31⋊C8 | C2×C4 | semidirect |
| 101. C31 | #2912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758525 | 2 |
| #14521532 | 2 |
| #14521092 | 2 |
| #14521089 | 2 |
| #14521085 | 2 |
| C2×#11758396 | 2 |
| C31×#520 | 2 |
| #2912 | 31 |