Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
774 conjugacy classes of subgroups; only the 297 normal subgroups are shown.
This group has 774 conjugacy classes of subgroups — too many to draw. Only its 297 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×#11745310 | C2 | semidirect |
| 2. #14271130 | C2 | semidirect |
| 3. #14271127 | C2 | semidirect |
| 4. C2×C22⋊#6597 | C2 | semidirect |
| 15. C2×#90777 | C22 | semidirect |
| 16. C22×#6597 | C22 | semidirect |
| 19. C22⋊#6597 | C22 | semidirect |
| 20. C22⋊#6597 | C22 | semidirect |
| 77. C22×C29 | #131 | semidirect |
| 109. C29 | #2880 | semidirect |
| 164. C22 | #11745310 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745310 | 2 |
| #14271130 | 2 |
| #14271127 | 2 |
| C2×C22⋊#6597 | 2 |
| C22×#41×C29 | 2 |
| #2880 | 29 |