Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
442 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 124 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. #14545116 | C2 | semidirect |
| 2. C2×#11763707 | C2 | semidirect |
| 3. C2×#11763697 | C2 | semidirect |
| 35. C2×#63216 | D4 | semidirect |
| 143. C17 | #13192 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545116 | 2 |
| C2×#11763707 | 2 |
| C2×#11763697 | 2 |
| #14537496 | 2 |
| #13192 | 17 |