Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1310 conjugacy classes of subgroups; only the 440 normal subgroups are shown.
This group has 1310 conjugacy classes of subgroups — too many to draw. Only its 440 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 |
|---|---|---|
| 2. #14544501 | C2 | semidirect |
| 6. #11763768 | C4 | semidirect |
| 35. #10587542 | C2×C4 | semidirect |
| 116. D17 | #1745 | semidirect |
| 137. C17 | C2×#1745 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763768 | 2 |
| #14544501 | 2 |
| #14544445 | 2 |
| C43×D17 | 2 |
| C2×#1745 | 17 |