Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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×#11758465 | C2 | semidirect |
| 3. #14521343 | C2 | semidirect |
| 4. #14521338 | C2 | semidirect |
| 5. #14521333 | C2 | semidirect |
| 6. #14521328 | C2 | semidirect |
| 7. #14521092 | C2 | semidirect |
| 8. #14521072 | C2 | semidirect |
| 11. C31×#428 | C2 | semidirect |
| 50. #92495 | Q8 | semidirect |
| 104. D124 | C2×Q8 | semidirect |
| 111. Dic62 | C2×Q8 | semidirect |
| 141. #428 | D31 | semidirect |
| 181. C31 | #3079 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758465 | 2 |
| #14521517 | 2 |
| #14521343 | 2 |
| #14521338 | 2 |
| #14521333 | 2 |
| #14521328 | 2 |
| #14521092 | 2 |
| #14521072 | 2 |
| #14521051 | 2 |
| #14521048 | 2 |
| C31×#428 | 2 |
| #3079 | 31 |