Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
124 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 35 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 |
|---|---|---|
| 19. C17×Q32 | C8 | semidirect |
| 21. Dic136 | C8 | semidirect |
| 75. Q32 | #3633 | semidirect |
| 83. C17 | #7386 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545871 | 2 |
| #14545851 | 2 |
| Q32×#595 | 2 |
| #7386 | 17 |