Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
394 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 75 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×#11758528 | C2 | semidirect |
| 2. C2×#11758513 | C2 | semidirect |
| 3. C2×#11758425 | C2 | semidirect |
| 4. #14521057 | C2 | semidirect |
| 5. C2×#11758421 | C2 | semidirect |
| 6. #14520808 | C2 | semidirect |
| 53. C2×Dic62 | D4 | semidirect |
| 62. C4×Dic31 | D4 | semidirect |
| 66. #92474 | D4 | semidirect |
| 160. C31 | #2004 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758528 | 2 |
| C2×#11758513 | 2 |
| C2×#11758425 | 2 |
| #14521057 | 2 |
| C2×#11758421 | 2 |
| #14520808 | 2 |
| C31×#535 | 2 |
| #2004 | 31 |