Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
264 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×C4⋊#64436 | C2 | semidirect |
| 3. #14557265 | C2 | semidirect |
| 4. #14557262 | C2 | semidirect |
| 5. C37×#431 | C2 | semidirect |
| 28. #10596962 | C8 | semidirect |
| 69. D148 | C2×C8 | semidirect |
| 75. Dic74 | C2×C8 | semidirect |
| 103. #431 | D37 | semidirect |
| 107. C37 | #1477 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10596962 | 2 |
| C2×C4⋊#64436 | 2 |
| #14557265 | 2 |
| #14557262 | 2 |
| C37×#431 | 2 |
| #1477 | 37 |