Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1614 conjugacy classes of subgroups; only the 752 normal subgroups are shown.
This group has 1614 conjugacy classes of subgroups — too many to draw. Only its 752 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 |
|---|---|---|
| 3. #14544441 | C2 | semidirect |
| 7. #11763768 | C4 | semidirect |
| 9. C4×#63242 | C4 | semidirect |
| 28. #10587542 | C2×C4 | semidirect |
| 29. C4×#3624 | C2×C4 | semidirect |
| 92. D17 | #1726 | semidirect |
| 109. C17 | C2×#1726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763768 | 2 |
| C2×C4×#63242 | 2 |
| #14544441 | 2 |
| D17×#376 | 2 |
| C2×#1726 | 17 |