Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
412 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 109 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. C2×#11762632 | C2 | semidirect |
| 5. #14529512 | C2 | semidirect |
| 6. #14526883 | C2 | semidirect |
| 7. C17×#1376 | C2 | semidirect |
| 19. #11762620 | C4 | semidirect |
| 92. Dic68 | C4⋊C4 | semidirect |
| 94. D136 | C4⋊C4 | semidirect |
| 141. #1376 | D17 | semidirect |
| 215. C17 | #12950 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762927 | 2 |
| C2×#11762632 | 2 |
| C2×#11762620 | 2 |
| #14529512 | 2 |
| #14526883 | 2 |
| C17×#1376 | 2 |
| #12950 | 17 |