Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
460 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 3. #14526732 | C2 | semidirect |
| 4. #14526714 | C2 | semidirect |
| 29. C17×#123 | C8 | semidirect |
| 82. C22×C4×C17 | C2×C8 | semidirect |
| 97. C22⋊C4×C17 | C2×C8 | semidirect |
| 216. #123 | #3622 | semidirect |
| 244. C17 | #11474 | semidirect |
| 266. C22×C4 | C2×#3622 | semidirect |
| 287. C22⋊C4 | C2×#3622 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14527105 | 2 |
| #14527102 | 2 |
| #14526732 | 2 |
| #14526714 | 2 |
| C17×#2322 | 2 |
| #11474 | 17 |