Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
478 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
|---|---|---|
| 26. #10587542 | C8 | semidirect |
| 29. C17×#97 | C8 | semidirect |
| 30. #10587486 | C8 | semidirect |
| 31. #10587474 | C8 | semidirect |
| 121. #97 | #3633 | semidirect |
| 126. C17 | #8132 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545918 | 2 |
| C42×#3633 | 2 |
| (C2×#3633)⋊C8 | 2 |
| #97×#595 | 2 |
| #8132 | 17 |