Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
984 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 984 conjugacy classes of subgroups — too many to draw. Only its 213 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. #14545930 | C2 | semidirect |
| 2. #14545927 | C2 | semidirect |
| 23. C17×#127 | C8 | semidirect |
| 24. #10587626 | C8 | semidirect |
| 25. #10587560 | C8 | semidirect |
| 35. C2×D4×C17 | C2×C8 | semidirect |
| 36. C2×C22⋊D17 | C2×C8 | semidirect |
| 39. C2×D68 | C2×C8 | semidirect |
| 45. C42×C17 | C2×C8 | semidirect |
| 46. C4×Dic17 | C2×C8 | semidirect |
| 101. #127 | #3633 | semidirect |
| 110. C17 | #23355 | semidirect |
| 116. C2×D4 | C2×#3633 | semidirect |
| 130. C42 | C2×#3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545930 | 2 |
| #14545927 | 2 |
| #127×#595 | 2 |
| #23355 | 17 |