Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
488 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 116 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. C22×#10587538 | C2 | semidirect |
| 2. C2×#11763708 | C2 | semidirect |
| 3. #14545011 | C2 | semidirect |
| 4. #14543839 | C2 | semidirect |
| 47. C2×#63216 | D4 | semidirect |
| 192. C17 | #12984 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587538 | 2 |
| C2×#11763708 | 2 |
| #14545011 | 2 |
| #14543839 | 2 |
| #14537474 | 2 |
| #12984 | 17 |