Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
302 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 160 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. #14543703 | C2 | direct (N × H) |
| 26. C2×#63216 | C8 | semidirect |
| 54. #63216 | C2×C8 | semidirect |
| 103. C2×C17 | #1313 | semidirect |
| 126. C17 | C2×#1313 | semidirect |
| 177. C2 | #14543703 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763698 | 2 |
| C2×#11763650 | 2 |
| #14543703 | 2 |
| C2×#11762584 | 2 |
| C2×#1313 | 17 |