Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
736 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 736 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 |
|---|---|---|
| 1. C2×#11763922 | C2 | semidirect |
| 2. #14545925 | C2 | semidirect |
| 4. #14545793 | C2 | semidirect |
| 56. C2×C22⋊C4×C17 | C8 | semidirect |
| 57. C2×C22⋊Dic17 | C8 | semidirect |
| 58. C2×#63227 | C8 | semidirect |
| 59. C2×#63227 | C8 | semidirect |
| 319. C2×C22⋊C4 | #3633 | semidirect |
| 336. C17 | #9080 | 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×#11763894 | 2 |
| #14545793 | 2 |
| C2×#11763759 | 2 |
| #9080 | 17 |