Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
274 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 87 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×#11758406 | C2 | semidirect |
| 2. C2×#11758405 | C2 | semidirect |
| 6. #14520915 | C2 | semidirect |
| 7. C31×#336 | C2 | semidirect |
| 100. #336 | D31 | semidirect |
| 120. C31 | #2092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758406 | 2 |
| C2×#11758405 | 2 |
| C2×#11758409 | 2 |
| #14520951 | 2 |
| #14520915 | 2 |
| C31×#336 | 2 |
| #2092 | 31 |