Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
382 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 105 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×C4⋊#63241 | C2 | semidirect |
| 4. C2×#11763903 | C2 | semidirect |
| 5. #14545854 | C2 | semidirect |
| 6. #14545854 | C2 | semidirect |
| 227. C17 | #13121 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#63241 | 2 |
| C2×#11763906 | 2 |
| C2×#11763903 | 2 |
| #14545854 | 2 |
| #14544518 | 2 |
| #13121 | 17 |