Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1170 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 1170 conjugacy classes of subgroups — too many to draw. Only its 132 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. #14544510 | C2 | semidirect |
| 2. C2×#11763664 | C2 | semidirect |
| 5. C2×#10587542 | C22 | semidirect |
| 145. C22×C17 | #329 | semidirect |
| 204. C17 | #8334 | semidirect |
| 301. C22 | #11763664 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544510 | 2 |
| C2×#11763664 | 2 |
| C22×#10587622 | 2 |
| #8334 | 17 |