Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
372 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 76 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. C2×C4⋊#3624 | C4 | semidirect |
| 8. C2×C4×#3624 | C4 | semidirect |
| 9. #11763654 | C4 | semidirect |
| 38. C17×#99 | C8 | semidirect |
| 40. #10587505 | C8 | semidirect |
| 204. #99 | #3624 | semidirect |
| 211. C17 | #7205 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544905 | 2 |
| #14544020 | 2 |
| #99×Dic17 | 2 |
| #7205 | 17 |