Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
492 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 492 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 |
|---|---|---|
| 2. #14544956 | C2 | semidirect |
| 4. #14544114 | C2 | semidirect |
| 5. #14543675 | C2 | semidirect |
| 6. #14543623 | C2 | semidirect |
| 126. C2×#3624 | SD16 | semidirect |
| 319. C17 | #9047 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545512 | 2 |
| #14544956 | 2 |
| #14544282 | 2 |
| #14544114 | 2 |
| #14543675 | 2 |
| #14543623 | 2 |
| #14538812 | 2 |
| #9047 | 17 |