Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
420 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 2. C2×#11763734 | C2 | semidirect |
| 3. C2×#11763733 | C2 | semidirect |
| 5. #14543849 | C2 | semidirect |
| 6. #14543849 | C2 | semidirect |
| 23. C22⋊#63214 | C4 | semidirect |
| 24. #11762588 | C4 | semidirect |
| 25. #11762588 | C4 | semidirect |
| 26. C17×C22⋊C16 | C4 | semidirect |
| 170. C2×D17 | #365 | semidirect |
| 198. C22⋊C16 | #595 | semidirect |
| 245. C17 | #12928 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D17⋊#108 | 2 |
| C2×#11763734 | 2 |
| C2×#11763733 | 2 |
| #14544660 | 2 |
| #14543849 | 2 |
| #14530393 | 2 |
| #12928 | 17 |