Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
194 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #14526985 | C2 | semidirect |
| 5. #14526984 | C2 | semidirect |
| 6. #14526983 | C2 | semidirect |
| 7. C17×#1424 | C2 | semidirect |
| 11. #11762642 | C4 | semidirect |
| 33. C17×C32 | C2×C4 | semidirect |
| 34. #10587465 | C2×C4 | semidirect |
| 69. #1424 | D17 | semidirect |
| 113. C32 | C4×D17 | semidirect |
| 114. C17 | #13634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762642 | 2 |
| #14530565 | 2 |
| D17×#366 | 2 |
| #14526985 | 2 |
| #14526984 | 2 |
| #14526983 | 2 |
| C17×#1424 | 2 |
| #13634 | 17 |