Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1738 conjugacy classes of subgroups; only the 587 normal subgroups are shown.
This group has 1738 conjugacy classes of subgroups — too many to draw. Only its 587 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. #14534749 | C2 | semidirect |
| 2. #14534744 | C2 | semidirect |
| 3. #14534737 | C2 | semidirect |
| 4. #14532082 | C2 | semidirect |
| 6. #14531267 | C2 | semidirect |
| 7. C2×C17×#376 | C2 | semidirect |
| 93. C2×#376 | D17 | semidirect |
| 146. C17 | #34639 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14534749 | 2 |
| #14534744 | 2 |
| #14534737 | 2 |
| #14532082 | 2 |
| #14531274 | 2 |
| #14531267 | 2 |
| C2×C17×#376 | 2 |
| #34639 | 17 |