Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
620 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 23. #11763538 | C4 | semidirect |
| 25. #11763537 | C4 | semidirect |
| 29. #11763534 | C4 | semidirect |
| 38. C17×#557 | C4 | semidirect |
| 263. #557 | #595 | semidirect |
| 367. C17 | #8495 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544972 | 2 |
| #14544319 | 2 |
| #14544276 | 2 |
| #14544177 | 2 |
| #14543276 | 2 |
| #8495 | 17 |