Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
240 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14530923 | C2 | semidirect |
| 4. #14527590 | C2 | semidirect |
| 5. #14526847 | C2 | semidirect |
| 7. C17×#1364 | C2 | semidirect |
| 65. Dic68 | SD16 | semidirect |
| 94. #3622 | SD32 | semidirect |
| 100. #1364 | D17 | semidirect |
| 155. C17 | #12417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530923 | 2 |
| #14530825 | 2 |
| #14528377 | 2 |
| #14527590 | 2 |
| #14526847 | 2 |
| #14526829 | 2 |
| C17×#1364 | 2 |
| #12417 | 17 |