Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
444 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 23. C17×#125 | C8 | semidirect |
| 26. #10587576 | C8 | semidirect |
| 29. #10587556 | C8 | semidirect |
| 122. #125 | #3633 | semidirect |
| 137. C17 | #7568 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545918 | 2 |
| #14545784 | 2 |
| #125×#595 | 2 |
| #7568 | 17 |