Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
778 conjugacy classes of subgroups; only the 166 normal subgroups are shown.
This group has 778 conjugacy classes of subgroups — too many to draw. Only its 166 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. #14543605 | C2 | semidirect |
| 3. #14543604 | C2 | semidirect |
| 21. C2×Q8×D17 | C8 | semidirect |
| 48. C2×Q8×C17 | C2×C8 | semidirect |
| 78. C2×Dic34 | C2×C8 | semidirect |
| 173. D17 | #1272 | semidirect |
| 201. C17 | C2×#1272 | semidirect |
| 215. C2×Q8 | #63242 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544445 | 2 |
| #14543605 | 2 |
| #14543604 | 2 |
| D17×#391 | 2 |
| C2×#1272 | 17 |