Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
494 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 29. C17×#125 | C8 | semidirect |
| 32. #10587576 | C8 | semidirect |
| 35. #10587556 | C8 | semidirect |
| 136. #125 | #3633 | semidirect |
| 154. C17 | #9871 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545926 | 2 |
| C42×#3633 | 2 |
| #14545792 | 2 |
| #125×#595 | 2 |
| #9871 | 17 |