Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
552 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 145 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. C2×#11924568 | C2 | semidirect |
| 3. C4⋊Q8×D37 | C2 | semidirect |
| 4. #14557926 | C2 | semidirect |
| 5. #14557912 | C2 | semidirect |
| 6. #14557907 | C2 | semidirect |
| 7. #14557906 | C2 | semidirect |
| 8. C4×#10596929 | C2 | semidirect |
| 9. C37×#494 | C2 | semidirect |
| 59. #10596929 | D4 | semidirect |
| 89. C4×C37 | #137 | semidirect |
| 104. #494 | D37 | semidirect |
| 108. C37 | #3152 | semidirect |
| 191. C4 | #11924568 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924568 | 2 |
| #14558084 | 2 |
| C4⋊Q8×D37 | 2 |
| #14557926 | 2 |
| #14557912 | 2 |
| #14557907 | 2 |
| #14557906 | 2 |
| C4×#10596929 | 2 |
| C37×#494 | 2 |
| #3152 | 37 |