Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
298 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 15. #11924460 | C4 | semidirect |
| 58. Q8×C37 | C4⋊C4 | semidirect |
| 117. C37 | #1865 | semidirect |
| 168. Q8 | #10596936 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924467 | 2 |
| C2×#11924460 | 2 |
| #14557431 | 2 |
| #14557295 | 2 |
| #14557288 | 2 |
| C2×C4×Q8×C37 | 2 |
| #1865 | 37 |