Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
462 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 173 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. C4×C8×C17 | C8 | semidirect |
| 27. C8×Dic17 | C8 | semidirect |
| 28. C4×#3622 | C8 | semidirect |
| 73. C8×C17 | C4⋊C8 | semidirect |
| 74. #3622 | C4⋊C8 | semidirect |
| 88. C4×C17 | #335 | semidirect |
| 90. Dic17 | #335 | semidirect |
| 121. C4×C8 | #3633 | semidirect |
| 122. C17 | #8806 | semidirect |
| 167. C8 | C4⋊#3633 | semidirect |
| 180. C4 | #11763899 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545928 | 2 |
| C2×#11763899 | 2 |
| C4×C8×#595 | 2 |
| #8806 | 17 |