Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
332 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×C4×#63214 | C2 | semidirect |
| 5. #14526879 | C2 | semidirect |
| 6. #14526877 | C2 | semidirect |
| 7. C17×#1945 | C2 | semidirect |
| 15. #11762612 | C4 | semidirect |
| 16. #11762609 | C4 | semidirect |
| 124. #1945 | D17 | semidirect |
| 191. C17 | #13151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762615 | 2 |
| #14530489 | 2 |
| C2×C4×#63214 | 2 |
| #14529672 | 2 |
| #14526879 | 2 |
| #14526877 | 2 |
| C17×#1945 | 2 |
| #13151 | 17 |