Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
418 conjugacy classes of subgroups; only the 188 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 188 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 |
|---|---|---|
| 33. C17×#97 | C8 | semidirect |
| 84. C8×C17 | C4⋊C8 | semidirect |
| 138. #97 | #3624 | semidirect |
| 141. C17 | #8808 | semidirect |
| 188. C8 | C4⋊#3624 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544716 | 2 |
| #14544699 | 2 |
| C2×#11763672 | 2 |
| C2×#11763670 | 2 |
| #97×Dic17 | 2 |
| #8808 | 17 |