Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
474 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 22. C22×#3633 | C8 | semidirect |
| 31. C22⋊#3633 | C8 | semidirect |
| 34. C22⋊#3624 | C8 | semidirect |
| 37. C17×C22⋊C8 | C8 | semidirect |
| 38. C22⋊#3622 | C8 | semidirect |
| 208. C22⋊C8 | #3633 | semidirect |
| 211. C17 | #7016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C22⋊#3633 | 2 |
| C2×(C2×#3633)⋊C4 | 2 |
| C22⋊C8×#595 | 2 |
| #7016 | 17 |