Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
500 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 252. C17 | #10087 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763215 | 2 |
| #14536851 | 2 |
| #14529605 | 2 |
| C2×#11762551 | 2 |
| C2×#11762550 | 2 |
| #14526666 | 2 |
| C2×C17×#501 | 2 |
| #10087 | 17 |