Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
554 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 554 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 |
|---|---|---|
| 3. #14534146 | C2 | semidirect |
| 5. #14527214 | C2 | semidirect |
| 6. #14526643 | C2 | semidirect |
| 7. C17×#1479 | C2 | semidirect |
| 89. C2×Q8×C17 | SD16 | semidirect |
| 197. #1479 | D17 | semidirect |
| 303. C17 | #9999 | 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 |
|---|---|
| #14538816 | 2 |
| #14538256 | 2 |
| #14534146 | 2 |
| #14527345 | 2 |
| #14527214 | 2 |
| #14526643 | 2 |
| C17×#1479 | 2 |
| #9999 | 17 |