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 |
| 71. C8×C17 | C4⋊C8 | semidirect |
| 72. #3622 | C4⋊C8 | semidirect |
| 85. C4×C17 | #334 | semidirect |
| 87. Dic17 | #334 | semidirect |
| 118. C4×C8 | #3633 | semidirect |
| 119. C17 | #8805 | semidirect |
| 162. C8 | C4⋊#3633 | semidirect |
| 174. C4 | #11763898 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545928 | 2 |
| C2×#11763898 | 2 |
| C4×C8×#595 | 2 |
| #8805 | 17 |