Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
206 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 59 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. Q8×C37 | Q16 | semidirect |
| 63. Dic74 | Q16 | semidirect |
| 90. C37 | #1633 | semidirect |
| 137. Q8 | #10596942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic74 | 2 |
| #14557912 | 2 |
| #14557825 | 2 |
| #14557281 | 2 |
| Q8⋊#64436 | 2 |
| #14557263 | 2 |
| C37×#477 | 2 |
| #1633 | 37 |