Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
466 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 466 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 |
|---|---|---|
| 2. #14543721 | C2 | semidirect |
| 3. #14543720 | C2 | semidirect |
| 59. C2×C4×D17 | C16 | semidirect |
| 99. C2×C4×C17 | C2×C16 | semidirect |
| 109. C2×Dic17 | C2×C16 | semidirect |
| 168. D17 | #1322 | semidirect |
| 196. C17 | C2×#1322 | semidirect |
| 269. C2×C4 | #10587529 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545009 | 2 |
| #14543721 | 2 |
| #14543720 | 2 |
| C2×C4⋊C8×D17 | 2 |
| C2×#1322 | 17 |