Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
454 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 127 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 |
|---|---|---|
| 42. #10587545 | C8 | semidirect |
| 45. C17×#101 | C8 | semidirect |
| 46. #10587507 | C8 | semidirect |
| 47. #10587495 | C8 | semidirect |
| 93. #3633 | #101 | direct (N × H) |
| 165. #101 | #3633 | direct (N × H) |
| 174. C17 | C8×#101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×#3633 | 2 |
| #14545899 | 2 |
| M16×#3633 | 2 |
| #14545796 | 2 |
| #101×#595 | 2 |
| C8×#101 | 17 |