Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1614 conjugacy classes of subgroups; only the 296 normal subgroups are shown.
This group has 1614 conjugacy classes of subgroups — too many to draw. Only its 296 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. C2×#11763814 | C2 | semidirect |
| 2. C2×#11763784 | C2 | semidirect |
| 3. C2×#11763768 | C2 | semidirect |
| 4. #14544910 | C2 | semidirect |
| 40. C2×#63242 | D4 | semidirect |
| 208. C17 | #21188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763814 | 2 |
| C2×#11763784 | 2 |
| C2×#11763768 | 2 |
| #14544910 | 2 |
| C2×#11763360 | 2 |
| #21188 | 17 |