Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
174 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 66 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 |
|---|---|---|
| 7. #11763738 | C4 | semidirect |
| 13. C2×#10587465 | C4 | semidirect |
| 14. C2×C17×C32 | C4 | semidirect |
| 82. C2×C32 | #595 | semidirect |
| 107. C17 | #7474 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763738 | 2 |
| C2×#11763736 | 2 |
| C2×#11762642 | 2 |
| #7474 | 17 |