Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
622 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 622 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14538252 | C2 | semidirect |
| 2. #14533693 | C2 | semidirect |
| 3. #14527344 | C2 | semidirect |
| 4. #14527209 | C2 | semidirect |
| 5. #14527180 | C2 | semidirect |
| 6. #14526643 | C2 | semidirect |
| 118. C2×Dic34 | D8 | semidirect |
| 329. C17 | #9997 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538252 | 2 |
| #14533693 | 2 |
| #14527344 | 2 |
| #14527209 | 2 |
| #14527180 | 2 |
| #14526643 | 2 |
| C17×#3100 | 2 |
| #9997 | 17 |