Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
318 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 38. C17×M32 | Q8 | semidirect |
| 41. C17×#108 | Q8 | semidirect |
| 55. C2×#63214 | Q8 | semidirect |
| 171. M32 | Dic34 | semidirect |
| 177. #108 | Dic34 | semidirect |
| 191. C17 | #13456 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539320 | 2 |
| #14530572 | 2 |
| C2×#11762636 | 2 |
| #14529570 | 2 |
| #14526881 | 2 |
| #14526874 | 2 |
| C17×#1387 | 2 |
| #13456 | 17 |