Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
138 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 138 conjugacy classes of subgroups — too many to draw. Only its 48 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 |
|---|---|---|
| 1. #14543889 | C2 | semidirect |
| 2. #14543815 | C2 | semidirect |
| 15. C17×D16 | C8 | semidirect |
| 76. D16 | #3624 | semidirect |
| 84. C17 | #7383 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543889 | 2 |
| #14543815 | 2 |
| D16×Dic17 | 2 |
| #7383 | 17 |