Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
418 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 108 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. C2×#11763736 | C2 | semidirect |
| 2. C2×#11763735 | C2 | semidirect |
| 4. #14543842 | C2 | semidirect |
| 13. C2×#10587483 | C4 | semidirect |
| 14. C2×#10587469 | C4 | semidirect |
| 15. C2×#10587469 | C4 | semidirect |
| 20. C2×C17×M32 | C4 | semidirect |
| 89. C16×C17 | C22⋊C4 | semidirect |
| 91. #63214 | C22⋊C4 | semidirect |
| 161. C2×M32 | #595 | semidirect |
| 208. C17 | #12836 | semidirect |
| 248. C16 | C22⋊#595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763736 | 2 |
| C2×#11763735 | 2 |
| #14544661 | 2 |
| #14543842 | 2 |
| C2×M32×D17 | 2 |
| #12836 | 17 |