Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
510 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 159 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 |
|---|---|---|
| 3. C2×#11763902 | C2 | semidirect |
| 4. #14545855 | C2 | semidirect |
| 7. C2×#10587665 | C4 | semidirect |
| 11. C22×#63241 | C4 | semidirect |
| 12. #11763906 | C4 | semidirect |
| 13. C22⋊#63241 | C4 | semidirect |
| 57. C22⋊#595 | C16 | semidirect |
| 75. #63241 | C22⋊C4 | semidirect |
| 89. C2×#595 | C2×C16 | semidirect |
| 117. C22×C17 | C4×C16 | semidirect |
| 122. C2×D17 | C4×C16 | semidirect |
| 179. C17 | C16×C22⋊C4 | semidirect |
| 251. C22 | #11763902 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587665 | 2 |
| #14545949 | 2 |
| C2×#11763902 | 2 |
| #14545855 | 2 |
| #14544519 | 2 |
| C16×C22⋊C4 | 17 |