Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
408 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 57. C17×#103 | C8 | semidirect |
| 58. #10587506 | C8 | semidirect |
| 59. #10587487 | C8 | semidirect |
| 60. #10587481 | C8 | semidirect |
| 241. #103 | #3633 | semidirect |
| 250. C17 | #9544 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| (C2×#3633)⋊Q8 | 2 |
| C4⋊C4×#3633 | 2 |
| C2×#11763899 | 2 |
| C2×Q8⋊#3633 | 2 |
| #14545792 | 2 |
| (C2×#3633)⋊C8 | 2 |
| #103×#595 | 2 |
| #9544 | 17 |