Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
232 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 110 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 |
|---|---|---|
| 3. #14543813 | C2 | semidirect |
| 4. #14543806 | C2 | semidirect |
| 70. C8×C17 | M32 | semidirect |
| 127. C17 | #12017 | semidirect |
| 167. C8 | #10587538 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545145 | 2 |
| #14545116 | 2 |
| #14543813 | 2 |
| #14543806 | 2 |
| M16×#3622 | 2 |
| #12017 | 17 |