Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
368 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 368 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. #14526753 | C2 | semidirect |
| 4. #14526750 | C2 | semidirect |
| 5. C17×#1566 | C2 | semidirect |
| 91. Dic68 | M16 | semidirect |
| 93. D136 | M16 | semidirect |
| 128. #1566 | D17 | semidirect |
| 203. C17 | #11666 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587590 | 2 |
| #14530587 | 2 |
| #14526753 | 2 |
| #14526750 | 2 |
| C17×#1566 | 2 |
| #11666 | 17 |