Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
246 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 8. C4×#63216 | C4 | semidirect |
| 14. C4×#63214 | C4 | semidirect |
| 15. C4×C16×C17 | C4 | semidirect |
| 42. C4×#595 | C16 | semidirect |
| 106. C4×C16 | #595 | semidirect |
| 129. C17 | #7142 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545143 | 2 |
| #14544497 | 2 |
| #14530581 | 2 |
| #7142 | 17 |