Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
278 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 2. C2×#11758410 | C2 | semidirect |
| 4. #14520813 | C2 | semidirect |
| 72. C22×C31 | #108 | semidirect |
| 104. C31 | #1855 | semidirect |
| 157. C22 | #11758410 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#92474 | 2 |
| C2×#11758410 | 2 |
| C2×C22⋊(C31⋊C8) | 2 |
| #14520813 | 2 |
| C31×#407 | 2 |
| #1855 | 31 |