Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
346 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14545841 | C2 | direct (N × H) |
| 131. C2×C17 | #1338 | semidirect |
| 161. C17 | C2×#1338 | semidirect |
| 227. C2 | #14545841 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763912 | 2 |
| C2×#11763903 | 2 |
| #14545841 | 2 |
| C2×#11763860 | 2 |
| C2×#1338 | 17 |