Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
190 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 56 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 |
|---|---|---|
| 12. Dic272 | C4 | semidirect |
| 13. #11762649 | C4 | semidirect |
| 15. C17×Q64 | C4 | semidirect |
| 62. #595 | Q64 | direct (N × H) |
| 71. Q64 | #595 | direct (N × H) |
| 93. C17 | C4×Q64 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q32×#595 | 2 |
| #14543945 | 2 |
| #14543934 | 2 |
| C32×#595 | 2 |
| D17×Q64 | 2 |
| C4×Q64 | 17 |