Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
486 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
|---|---|---|
| 3. C2×#11763903 | C2 | semidirect |
| 4. #14545854 | C2 | semidirect |
| 7. C22×#63241 | C4 | semidirect |
| 11. C22⋊#63241 | C4 | semidirect |
| 64. #63241 | C22⋊C4 | semidirect |
| 105. C22×C17 | #346 | semidirect |
| 158. C17 | #12611 | semidirect |
| 217. C22 | #11763903 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#63241 | 2 |
| C2×C22⋊#63241 | 2 |
| C2×#11763903 | 2 |
| #14545854 | 2 |
| C22⋊C4×#3624 | 2 |
| #12611 | 17 |