Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
430 conjugacy classes of subgroups; only the 164 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 164 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 |
|---|---|---|
| 11. #11763671 | C4 | semidirect |
| 12. #11763650 | C4 | semidirect |
| 37. #10587478 | C8 | semidirect |
| 88. #3622 | C4×C8 | semidirect |
| 145. C17 | #8284 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊C4×#3624 | 2 |
| C2×#11763671 | 2 |
| C2×#11763650 | 2 |
| #14543620 | 2 |
| #14528676 | 2 |
| #8284 | 17 |