Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
232 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 232 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 |
|---|---|---|
| 4. #14526853 | C2 | semidirect |
| 5. #14526848 | C2 | semidirect |
| 6. #14526847 | C2 | semidirect |
| 7. C17×#1370 | C2 | semidirect |
| 87. C8×C17 | M32 | semidirect |
| 94. #3622 | M32 | semidirect |
| 99. #1370 | D17 | semidirect |
| 155. C17 | #12017 | semidirect |
| 202. C8 | #10587469 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530586 | 2 |
| #14530538 | 2 |
| C8×#63218 | 2 |
| #14526853 | 2 |
| #14526848 | 2 |
| #14526847 | 2 |
| C17×#1370 | 2 |
| #12017 | 17 |