Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
862 conjugacy classes of subgroups; only the 299 normal subgroups are shown.
This group has 862 conjugacy classes of subgroups — too many to draw. Only its 299 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 |
|---|---|---|
| 42. C4×#3622 | Q8 | semidirect |
| 137. C17 | #33313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763212 | 2 |
| C2×#11763205 | 2 |
| #14537162 | 2 |
| #14528946 | 2 |
| C42×#3622 | 2 |
| C17×#2862 | 2 |
| #33313 | 17 |