Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
566 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 25. #11763105 | C4 | semidirect |
| 26. #11763104 | C4 | semidirect |
| 27. #11763016 | C4 | semidirect |
| 32. C17×#462 | C4 | semidirect |
| 113. C4×#595 | Q16 | semidirect |
| 224. #462 | #595 | semidirect |
| 297. C17 | #9232 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×Q8×#595 | 2 |
| #14544969 | 2 |
| #14544167 | 2 |
| #14544113 | 2 |
| #14543681 | 2 |
| #14543611 | 2 |
| #14538822 | 2 |
| #9232 | 17 |