Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
390 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14530587 | C2 | semidirect |
| 3. #14526792 | C2 | semidirect |
| 4. C4×C17×#106 | C2 | semidirect |
| 6. #11763214 | C4 | semidirect |
| 7. #11763186 | C4 | semidirect |
| 12. C4×D136 | C4 | semidirect |
| 107. C4×#106 | D17 | semidirect |
| 171. C17 | #11744 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539363 | 2 |
| #14530587 | 2 |
| #14526792 | 2 |
| C4×C17×#106 | 2 |
| #11744 | 17 |