Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
178 conjugacy classes of subgroups; only the 42 normal subgroups are shown.
This group has 178 conjugacy classes of subgroups — too many to draw. Only its 42 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 |
|---|---|---|
| 20. C17×#97 | C8 | semidirect |
| 99. #97 | #3624 | semidirect |
| 101. C17 | #7372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543724 | 2 |
| #14528952 | 2 |
| #7372 | 17 |