Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
522 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 1. C2×#11763912 | C2 | semidirect |
| 2. C2×#11763906 | C2 | semidirect |
| 3. C2×#11763903 | C2 | semidirect |
| 30. C2×#63241 | D4 | semidirect |
| 153. C17 | #13190 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763912 | 2 |
| C2×#11763906 | 2 |
| C2×#11763903 | 2 |
| C2×#11763837 | 2 |
| #13190 | 17 |