Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
628 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 628 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 50. C2×C4⋊C4×C17 | C8 | semidirect |
| 51. C2×C4⋊Dic17 | C8 | semidirect |
| 52. C2×#63225 | C8 | semidirect |
| 53. C2×#63225 | C8 | semidirect |
| 276. C2×C4⋊C4 | #3633 | semidirect |
| 297. C17 | #9082 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763922 | 2 |
| #14545925 | 2 |
| C2×#11763895 | 2 |
| #14545793 | 2 |
| C2×#11763758 | 2 |
| #9082 | 17 |