Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
582 conjugacy classes of subgroups; only the 203 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 203 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. #14531030 | C2 | direct (N × H) |
| 112. C2×C17 | #2245 | semidirect |
| 138. C17 | C2×#2245 | semidirect |
| 188. C2 | #14531030 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763211 | 2 |
| C2×#11763189 | 2 |
| #14531030 | 2 |
| C2×#11762614 | 2 |
| C2×C17×#346 | 2 |
| C2×#2245 | 17 |