Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
602 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14538816 | C2 | semidirect |
| 3. #14534143 | C2 | semidirect |
| 4. #14527343 | C2 | semidirect |
| 5. #14527212 | C2 | semidirect |
| 6. #14527176 | C2 | semidirect |
| 7. C17×#1286 | C2 | semidirect |
| 105. C2×D68 | SD16 | semidirect |
| 206. #1286 | D17 | semidirect |
| 316. C17 | #9998 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538816 | 2 |
| #14538250 | 2 |
| #14534143 | 2 |
| #14527343 | 2 |
| #14527212 | 2 |
| #14527176 | 2 |
| C17×#1286 | 2 |
| #9998 | 17 |