Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
522 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14545789 | C2 | semidirect |
| 3. #14545787 | C2 | semidirect |
| 36. C2×C42×C17 | C8 | semidirect |
| 38. C2×C4×Dic17 | C8 | semidirect |
| 41. C42×D17 | C8 | semidirect |
| 42. C42×D17 | C8 | semidirect |
| 208. C2×C42 | #3633 | semidirect |
| 214. C17 | #8730 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545896 | 2 |
| #14545789 | 2 |
| #14545787 | 2 |
| C4×#10587677 | 2 |
| #8730 | 17 |