Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
822 conjugacy classes of subgroups; only the 331 normal subgroups are shown.
This group has 822 conjugacy classes of subgroups — too many to draw. Only its 331 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 |
|---|---|---|
| 36. C17×#97 | Q8 | semidirect |
| 37. C4×C8×C17 | Q8 | semidirect |
| 131. #97 | Dic34 | semidirect |
| 133. C4×C8 | Dic34 | semidirect |
| 137. C17 | #33317 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763218 | 2 |
| #14537162 | 2 |
| #14537147 | 2 |
| #14528952 | 2 |
| #14528948 | 2 |
| C4×C17×#97 | 2 |
| #33317 | 17 |