Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
182 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 43 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 |
|---|---|---|
| 26. C17×#106 | C8 | semidirect |
| 27. #10587488 | C8 | semidirect |
| 107. #106 | #3633 | semidirect |
| 114. C17 | #7125 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545857 | 2 |
| #14545794 | 2 |
| #14544894 | 2 |
| #7125 | 17 |