Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
438 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 136 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×#11763730 | C2 | semidirect |
| 4. #14543823 | C2 | semidirect |
| 89. C2×Dic17 | M32 | semidirect |
| 157. C17 | #12913 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587538 | 2 |
| C2×#11763730 | 2 |
| C2×C22⋊#63216 | 2 |
| #14543823 | 2 |
| #14528558 | 2 |
| #12913 | 17 |