Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
206 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 88 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. #14543946 | C2 | direct (N × H) |
| 8. C2×#10587465 | C4 | semidirect |
| 9. C32×D17 | C4 | semidirect |
| 11. C2×C17×C32 | C4 | semidirect |
| 22. C17×C32 | C2×C4 | semidirect |
| 23. #10587465 | C2×C4 | semidirect |
| 69. C2×C32 | #595 | semidirect |
| 72. C2×C17 | #1424 | semidirect |
| 74. D17 | #1424 | semidirect |
| 87. C32 | C2×#595 | semidirect |
| 88. C17 | C2×#1424 | semidirect |
| 127. C2 | #14543946 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763735 | 2 |
| #14543946 | 2 |
| C2×C32×D17 | 2 |
| C2×#1424 | 17 |