Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
226 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
|---|---|---|
| 29. Dic136 | C8 | semidirect |
| 57. #3624 | Q32 | semidirect |
| 101. C17 | C8×Q32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544372 | 2 |
| #14543815 | 2 |
| #14543741 | 2 |
| C16×#3624 | 2 |
| #14530642 | 2 |
| C8×Q32 | 17 |