Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
954 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 954 conjugacy classes of subgroups — too many to draw. Only its 118 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×#11763722 | C2 | semidirect |
| 2. C2×#11763721 | C2 | semidirect |
| 3. #14545009 | C2 | semidirect |
| 4. #14544661 | C2 | semidirect |
| 15. C2×#10587605 | C4 | semidirect |
| 16. C2×#10587590 | C4 | semidirect |
| 19. C2×#10587598 | C4 | semidirect |
| 26. C2×C17×#135 | C4 | semidirect |
| 127. Q16×C17 | C22⋊C4 | semidirect |
| 130. D8×C17 | C22⋊C4 | semidirect |
| 143. Dic68 | C22⋊C4 | semidirect |
| 145. D136 | C22⋊C4 | semidirect |
| 252. C2×#135 | #595 | semidirect |
| 328. C17 | #12733 | semidirect |
| 375. Q16 | C22⋊#595 | semidirect |
| 384. D8 | C22⋊#595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763722 | 2 |
| C2×#11763721 | 2 |
| #14545009 | 2 |
| #14544661 | 2 |
| C2×#135×D17 | 2 |
| #12733 | 17 |