Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1006 conjugacy classes of subgroups; only the 347 normal subgroups are shown.
This group has 1006 conjugacy classes of subgroups — too many to draw. Only its 347 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 |
|---|---|---|
| 42. C8×Dic17 | Q8 | semidirect |
| 84. C8×C17 | C4⋊Q8 | semidirect |
| 85. #3622 | C4⋊Q8 | semidirect |
| 100. Dic17 | #498 | semidirect |
| 142. C17 | #33310 | semidirect |
| 182. C8 | #10587630 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763207 | 2 |
| C2×#11763205 | 2 |
| #14537180 | 2 |
| #14528939 | 2 |
| C4×C8×Dic17 | 2 |
| C2×C17×#498 | 2 |
| #33310 | 17 |