Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
306 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14530585 | C2 | semidirect |
| 3. #14527529 | C2 | semidirect |
| 4. #14526754 | C2 | semidirect |
| 5. #14526752 | C2 | semidirect |
| 6. #14526750 | C2 | semidirect |
| 7. C17×#1334 | C2 | semidirect |
| 132. #1334 | D17 | semidirect |
| 209. C17 | #11656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539357 | 2 |
| #14530585 | 2 |
| #14527529 | 2 |
| #14526754 | 2 |
| #14526752 | 2 |
| #14526750 | 2 |
| C17×#1334 | 2 |
| #11656 | 17 |