Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
454 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 118 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×C22⋊#63216 | C2 | semidirect |
| 2. #14543721 | C2 | semidirect |
| 3. #14543705 | C2 | semidirect |
| 53. C2×C22⋊D17 | C16 | semidirect |
| 91. C22×D17 | C2×C16 | semidirect |
| 108. C2×Dic17 | C2×C16 | semidirect |
| 188. C17 | #11465 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊#63216 | 2 |
| #14543721 | 2 |
| #14543705 | 2 |
| C2×#11762872 | 2 |
| #11465 | 17 |