Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
950 conjugacy classes of subgroups; only the 207 normal subgroups are shown.
This group has 950 conjugacy classes of subgroups — too many to draw. Only its 207 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 |
|---|---|---|
| 3. #14530186 | C2 | semidirect |
| 4. #14530185 | C2 | semidirect |
| 5. #14530184 | C2 | semidirect |
| 7. C17×#2070 | C2 | semidirect |
| 135. #2070 | D17 | direct (N × H) |
| 169. D17 | #2070 | direct (N × H) |
| 203. C17 | C2×#2070 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17×#430 | 2 |
| C2×#101×D17 | 2 |
| #14530186 | 2 |
| #14530185 | 2 |
| #14530184 | 2 |
| D17×#338 | 2 |
| C17×#2070 | 2 |
| C2×#2070 | 17 |