Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1374 conjugacy classes of subgroups; only the 220 normal subgroups are shown.
This group has 1374 conjugacy classes of subgroups — too many to draw. Only its 220 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 |
|---|---|---|
| 2. C2×#11763677 | C2 | semidirect |
| 8. C4×C22⋊#595 | C4 | semidirect |
| 13. C22×#63218 | C4 | semidirect |
| 15. C23×#3622 | C4 | semidirect |
| 16. C23×C8×C17 | C4 | semidirect |
| 88. C2×C8×C17 | C22⋊C4 | semidirect |
| 92. C2×#3622 | C22⋊C4 | semidirect |
| 143. C22×C17 | H(3,ℤ/4) | semidirect |
| 166. C23×C8 | #595 | semidirect |
| 210. C17 | #10717 | semidirect |
| 252. C2×C8 | C22⋊#595 | semidirect |
| 309. C22 | #11763677 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545228 | 2 |
| C2×#11763677 | 2 |
| C23×#63218 | 2 |
| #10717 | 17 |