Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
190 conjugacy classes of subgroups; only the 32 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 32 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 |
|---|---|---|
| 1. #14543731 | C2 | semidirect |
| 2. #14543690 | C2 | semidirect |
| 118. C17 | #7415 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543731 | 2 |
| #14543690 | 2 |
| #14530068 | 2 |
| #7415 | 17 |