Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
568 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14538589 | C2 | semidirect |
| 4. #14527349 | C2 | semidirect |
| 6. #14526643 | C2 | semidirect |
| 7. C17×#1479 | C2 | semidirect |
| 90. C2×Q8×C17 | SD16 | semidirect |
| 198. #1479 | D17 | semidirect |
| 308. C17 | #10001 | semidirect |
| 317. C2×Q8 | #63219 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538793 | 2 |
| #14538589 | 2 |
| #14533689 | 2 |
| #14527349 | 2 |
| #14527210 | 2 |
| #14526643 | 2 |
| C17×#1479 | 2 |
| #10001 | 17 |