Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 141 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×#11745266 | C2 | semidirect |
| 2. C2×#11745263 | C2 | semidirect |
| 3. #14271744 | C2 | semidirect |
| 4. #14271422 | C2 | semidirect |
| 5. #14271417 | C2 | semidirect |
| 6. #14271393 | C2 | semidirect |
| 7. #14271162 | C2 | semidirect |
| 8. C2×C29×#106 | C2 | semidirect |
| 45. C2×C8×C29 | D4 | semidirect |
| 107. C2×#106 | D29 | semidirect |
| 135. C29 | #3060 | semidirect |
| 158. C2×C8 | D116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745266 | 2 |
| C2×#11745263 | 2 |
| #14271744 | 2 |
| #14271422 | 2 |
| #14271417 | 2 |
| #14271393 | 2 |
| #14271162 | 2 |
| C2×C29×#106 | 2 |
| #3060 | 29 |