Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
664 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 664 conjugacy classes of subgroups — too many to draw. Only its 213 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 |
|---|---|---|
| 31. C17×C4⋊Q8 | C8 | semidirect |
| 32. #10587630 | C8 | semidirect |
| 34. #10587574 | C8 | semidirect |
| 36. #10587555 | C8 | semidirect |
| 135. C4⋊Q8 | #3633 | semidirect |
| 151. C17 | #23363 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| (C2×#3633)⋊Q8 | 2 |
| #14545931 | 2 |
| #14545927 | 2 |
| C4⋊Q8×#595 | 2 |
| #23363 | 17 |