Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
536 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 1. #14529925 | C2 | semidirect |
| 2. #14529920 | C2 | semidirect |
| 3. #14529866 | C2 | semidirect |
| 4. #14526610 | C2 | semidirect |
| 5. #14526605 | C2 | semidirect |
| 6. #14526605 | C2 | semidirect |
| 68. C2×Q8×C17 | SD16 | semidirect |
| 289. C17 | #7781 | semidirect |
| 301. C2×Q8 | #63229 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14529925 | 2 |
| #14529920 | 2 |
| #14529866 | 2 |
| #14526610 | 2 |
| #14526605 | 2 |
| C17×#2733 | 2 |
| #7781 | 17 |