Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
346 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 128 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. #14543753 | C2 | direct (N × H) |
| 131. C2×C17 | #1338 | semidirect |
| 161. C17 | C2×#1338 | semidirect |
| 227. C2 | #14543753 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#63216 | 2 |
| C2×#11763697 | 2 |
| #14543753 | 2 |
| C2×#11762936 | 2 |
| C2×#1338 | 17 |