Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
210 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14558262 | C2 | semidirect |
| 4. #14557278 | C2 | semidirect |
| 5. Q8⋊#64436 | C2 | semidirect |
| 6. #14557263 | C2 | semidirect |
| 51. Q8×C37 | SD16 | semidirect |
| 98. C37 | #1626 | semidirect |
| 146. Q8 | #10596940 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558262 | 2 |
| #14557879 | 2 |
| #14557730 | 2 |
| #14557278 | 2 |
| Q8⋊#64436 | 2 |
| #14557263 | 2 |
| C37×#460 | 2 |
| #1626 | 37 |