Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
302 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14541360 | C2 | semidirect |
| 2. #14531026 | C2 | semidirect |
| 3. #14530824 | C2 | semidirect |
| 5. #14526837 | C2 | semidirect |
| 6. #14526743 | C2 | semidirect |
| 7. C17×#1334 | C2 | semidirect |
| 131. #1334 | D17 | semidirect |
| 207. C17 | #12349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541360 | 2 |
| #14531026 | 2 |
| #14530824 | 2 |
| #14528264 | 2 |
| #14526837 | 2 |
| #14526743 | 2 |
| C17×#1334 | 2 |
| #12349 | 17 |