Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
416 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 149 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×#11924536 | C2 | semidirect |
| 3. #14557829 | C2 | semidirect |
| 4. #14557824 | C2 | semidirect |
| 5. #14557819 | C2 | semidirect |
| 6. #14557814 | C2 | semidirect |
| 7. #14557575 | C2 | semidirect |
| 9. C37×#423 | C2 | semidirect |
| 41. #10596962 | Q8 | semidirect |
| 89. D148 | C2×Q8 | semidirect |
| 96. Dic74 | C2×Q8 | semidirect |
| 129. #423 | D37 | semidirect |
| 131. C37 | #3079 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924536 | 2 |
| C4×#10596962 | 2 |
| #14557829 | 2 |
| #14557824 | 2 |
| #14557819 | 2 |
| #14557814 | 2 |
| #14557575 | 2 |
| #14557535 | 2 |
| C37×#423 | 2 |
| #3079 | 37 |