Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
314 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 80 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. C22×#63216 | C4 | semidirect |
| 13. C22⋊#63214 | C4 | semidirect |
| 15. C17×C22⋊C16 | C4 | semidirect |
| 47. C22⋊#595 | C16 | semidirect |
| 127. C22⋊C16 | #595 | semidirect |
| 156. C17 | #7199 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763704 | 2 |
| C8×C22⋊#595 | 2 |
| D17×C22⋊C16 | 2 |
| #7199 | 17 |