Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1026 conjugacy classes of subgroups; only the 368 normal subgroups are shown.
This group has 1026 conjugacy classes of subgroups — too many to draw. Only its 368 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 |
|---|---|---|
| 2. #14544579 | C2 | semidirect |
| 5. #11763826 | C4 | semidirect |
| 33. #10587544 | C2×C4 | semidirect |
| 35. C4×#3624 | C2×C4 | semidirect |
| 88. C2×Dic17 | #97 | semidirect |
| 155. C17 | #20536 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763826 | 2 |
| #14544579 | 2 |
| #14544510 | 2 |
| C2×#11762660 | 2 |
| #20536 | 17 |