Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
196 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 2. D4×#64436 | C2 | semidirect |
| 3. #14557598 | C2 | semidirect |
| 4. #14557285 | C2 | semidirect |
| 5. #14557262 | C2 | semidirect |
| 6. C8×#64436 | C2 | semidirect |
| 7. C37×D4⋊C8 | C2 | semidirect |
| 32. #10596939 | C8 | semidirect |
| 45. D4×C37 | C2×C8 | semidirect |
| 54. D148 | C2×C8 | semidirect |
| 62. #64436 | C2×C8 | semidirect |
| 63. #64436 | D8 | semidirect |
| 89. D4⋊C8 | D37 | semidirect |
| 91. C37 | C8×D8 | semidirect |
| 131. D4 | C8×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10596939 | 2 |
| D4×#64436 | 2 |
| #14557598 | 2 |
| #14557285 | 2 |
| #14557262 | 2 |
| C8×#64436 | 2 |
| C37×D4⋊C8 | 2 |
| C8×D8 | 37 |