Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
476 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 476 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 |
|---|---|---|
| 1. #14539994 | C2 | semidirect |
| 4. #14527256 | C2 | semidirect |
| 6. #14526645 | C2 | semidirect |
| 7. C17×#1537 | C2 | semidirect |
| 166. #1537 | D17 | semidirect |
| 269. C17 | #10043 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539994 | 2 |
| #14538884 | 2 |
| #14538788 | 2 |
| #14527256 | 2 |
| #14527124 | 2 |
| #14526645 | 2 |
| C17×#1537 | 2 |
| #10043 | 17 |