Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
314 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 68 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. #14543791 | C2 | semidirect |
| 3. #14543790 | C2 | semidirect |
| 4. #14543789 | C2 | semidirect |
| 126. D17 | #1356 | semidirect |
| 152. C17 | C2×#1356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545001 | 2 |
| #14543791 | 2 |
| #14543790 | 2 |
| #14543789 | 2 |
| D17×#491 | 2 |
| C2×#1356 | 17 |