Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
380 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 71 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×#11924561 | C2 | semidirect |
| 2. #14558097 | C2 | semidirect |
| 3. #14557550 | C2 | semidirect |
| 4. #14557539 | C2 | semidirect |
| 5. #14557507 | C2 | semidirect |
| 6. #14557304 | C2 | semidirect |
| 7. C37×#575 | C2 | semidirect |
| 41. C2×Q8×C37 | D4 | semidirect |
| 45. C2×D4×C37 | D4 | semidirect |
| 62. C2×C8×C37 | D4 | semidirect |
| 73. #10596934 | D4 | semidirect |
| 143. #575 | D37 | semidirect |
| 150. C37 | #2008 | semidirect |
| 184. C2×Q8 | C22⋊D37 | semidirect |
| 195. C2×D4 | C22⋊D37 | semidirect |
| 210. C2×C8 | C22⋊D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924561 | 2 |
| #14558097 | 2 |
| #14557550 | 2 |
| #14557539 | 2 |
| #14557507 | 2 |
| #14557304 | 2 |
| C37×#575 | 2 |
| #2008 | 37 |