Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
476 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 86 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. #14545575 | C2 | semidirect |
| 3. #14544286 | C2 | semidirect |
| 5. #14543675 | C2 | semidirect |
| 6. #14543623 | C2 | semidirect |
| 120. C2×#3624 | SD16 | semidirect |
| 313. C17 | #9050 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545575 | 2 |
| #14544908 | 2 |
| #14544286 | 2 |
| #14544109 | 2 |
| #14543675 | 2 |
| #14543623 | 2 |
| #14538787 | 2 |
| #9050 | 17 |