Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
402 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 5. C2×#10587534 | C4 | semidirect |
| 9. #11763683 | C4 | semidirect |
| 12. C22⋊#63214 | C4 | semidirect |
| 14. C17×C22⋊C16 | C4 | semidirect |
| 138. C22⋊C16 | #595 | semidirect |
| 171. C17 | #7258 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544661 | 2 |
| C2×#11763683 | 2 |
| D17×C22⋊C16 | 2 |
| #7258 | 17 |