Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
476 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 90 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. #14545446 | C2 | semidirect |
| 2. #14545099 | C2 | semidirect |
| 3. C2×#11763723 | C2 | semidirect |
| 4. #14545024 | C2 | semidirect |
| 5. #14543863 | C2 | semidirect |
| 6. #14543843 | C2 | semidirect |
| 311. C17 | #12995 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545446 | 2 |
| #14545099 | 2 |
| C2×#11763723 | 2 |
| #14545024 | 2 |
| #14543863 | 2 |
| #14543843 | 2 |
| #14538502 | 2 |
| #12995 | 17 |