Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
516 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 27. C17×C4⋊Q8 | C8 | semidirect |
| 28. #10587630 | C8 | semidirect |
| 32. #10587555 | C8 | semidirect |
| 131. C4⋊Q8 | #3633 | semidirect |
| 146. C17 | #7571 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C4⋊#3633 | 2 |
| #14545785 | 2 |
| C4⋊Q8×#595 | 2 |
| #7571 | 17 |