Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
394 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 73 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×#11758519 | C2 | semidirect |
| 3. C2×#11758524 | C2 | semidirect |
| 4. C2×#11758413 | C2 | semidirect |
| 5. C2×#11758411 | C2 | semidirect |
| 6. #14520808 | C2 | semidirect |
| 7. C31×#419 | C2 | semidirect |
| 35. C2×Q8×C31 | D4 | semidirect |
| 65. C4×Dic31 | D4 | semidirect |
| 67. #92474 | D4 | semidirect |
| 130. #419 | D31 | semidirect |
| 160. C31 | #2004 | semidirect |
| 172. C2×Q8 | D124 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758519 | 2 |
| #14521618 | 2 |
| C2×#11758524 | 2 |
| C2×#11758413 | 2 |
| C2×#11758411 | 2 |
| #14520808 | 2 |
| C31×#419 | 2 |
| #2004 | 31 |