Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
542 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 1. C2×#11763218 | C2 | semidirect |
| 4. #14529603 | C2 | semidirect |
| 5. C2×#11762550 | C2 | semidirect |
| 7. C17×#1295 | C2 | semidirect |
| 171. #1295 | D17 | semidirect |
| 267. C17 | #10086 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763218 | 2 |
| C2×#11763169 | 2 |
| #14536836 | 2 |
| #14529603 | 2 |
| C2×#11762550 | 2 |
| C2×#11762548 | 2 |
| C17×#1295 | 2 |
| #10086 | 17 |