Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
446 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 10. #11763104 | C4 | semidirect |
| 11. #11763094 | C4 | semidirect |
| 248. C17 | #9178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538589 | 2 |
| #14531749 | 2 |
| #14527349 | 2 |
| #14527284 | 2 |
| #14526686 | 2 |
| #14526643 | 2 |
| C17×#1479 | 2 |
| #9178 | 17 |