Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
262 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 118 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 |
|---|---|---|
| 2. #14543816 | C2 | semidirect |
| 3. #14543815 | C2 | semidirect |
| 30. C16×D17 | C8 | semidirect |
| 48. C16×C17 | C2×C8 | semidirect |
| 50. #63214 | C2×C8 | semidirect |
| 99. D17 | #1371 | semidirect |
| 116. C17 | C2×#1371 | semidirect |
| 136. C16 | #63242 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544329 | 2 |
| #14543816 | 2 |
| #14543815 | 2 |
| C4×C16×D17 | 2 |
| C2×#1371 | 17 |