Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1174 conjugacy classes of subgroups; only the 361 normal subgroups are shown.
This group has 1174 conjugacy classes of subgroups — too many to draw. Only its 361 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 |
|---|---|---|
| 7. C2×C4×#3633 | C4 | semidirect |
| 8. (C2×#3633)⋊C4 | C4 | semidirect |
| 28. (C2×#595)⋊C4 | C8 | semidirect |
| 29. C17×#95 | C8 | semidirect |
| 30. #10587502 | C8 | semidirect |
| 72. C2×#595 | C4×C8 | semidirect |
| 83. #3633 | #95 | direct (N × H) |
| 85. C2×C4×C17 | C4×C8 | semidirect |
| 87. C2×Dic17 | C4×C8 | semidirect |
| 146. #95 | #3633 | direct (N × H) |
| 147. C17 | C8×#95 | semidirect |
| 204. C2×C4 | C4×#3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×#3633 | 2 |
| C2×(C2×#3633)⋊C4 | 2 |
| #95×#595 | 2 |
| C8×#95 | 17 |