Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
626 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14545925 | C2 | semidirect |
| 4. #14545795 | C2 | semidirect |
| 54. C17×#123 | C8 | semidirect |
| 55. #10587621 | C8 | semidirect |
| 56. #10587615 | C8 | semidirect |
| 59. #10587572 | C8 | semidirect |
| 90. C22×C4×C17 | C2×C8 | semidirect |
| 93. C22×Dic17 | C2×C8 | semidirect |
| 117. C22⋊C4×C17 | C2×C8 | semidirect |
| 119. C22⋊Dic17 | C2×C8 | semidirect |
| 260. #123 | #3633 | semidirect |
| 290. C17 | #8966 | semidirect |
| 320. C22×C4 | C2×#3633 | semidirect |
| 342. C22⋊C4 | C2×#3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14546026 | 2 |
| #14545925 | 2 |
| #14545897 | 2 |
| #14545795 | 2 |
| #123×#595 | 2 |
| #8966 | 17 |