Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
480 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 59. C2×Q16×C17 | C8 | semidirect |
| 60. C2×#63231 | C8 | semidirect |
| 61. C2×#63231 | C8 | semidirect |
| 64. C2×Dic68 | C8 | semidirect |
| 225. C2×Q16 | #3633 | semidirect |
| 262. C17 | #9088 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14546027 | 2 |
| #14545905 | 2 |
| #14545899 | 2 |
| #14545794 | 2 |
| #14545788 | 2 |
| C2×#11763849 | 2 |
| #9088 | 17 |