Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
500 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 127 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. #14530511 | C2 | semidirect |
| 3. C2×#11762591 | C2 | semidirect |
| 4. #14526898 | C2 | semidirect |
| 5. C2×C17×#430 | C2 | semidirect |
| 47. C17×#108 | D4 | semidirect |
| 133. C2×#430 | D17 | semidirect |
| 204. #108 | C22⋊D17 | semidirect |
| 209. C17 | #12998 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538393 | 2 |
| #14530511 | 2 |
| C2×#11762591 | 2 |
| #14526898 | 2 |
| C2×C17×#430 | 2 |
| #12998 | 17 |