Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
360 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 1. #14539315 | C2 | semidirect |
| 5. #14526890 | C2 | semidirect |
| 6. #14526886 | C2 | semidirect |
| 7. C17×#1378 | C2 | semidirect |
| 32. C2×Dic68 | Q8 | semidirect |
| 37. C2×D136 | Q8 | semidirect |
| 142. #1378 | D17 | semidirect |
| 219. C17 | #13374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539315 | 2 |
| #14530521 | 2 |
| C2×#11762620 | 2 |
| #14529682 | 2 |
| #14526890 | 2 |
| #14526886 | 2 |
| C17×#1378 | 2 |
| #13374 | 17 |