Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
128 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 128 conjugacy classes of subgroups — too many to draw. Only its 40 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. #14543896 | C2 | semidirect |
| 2. #14543811 | C2 | semidirect |
| 78. C17 | #7390 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543896 | 2 |
| #14543811 | 2 |
| #14530660 | 2 |
| #7390 | 17 |