Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
412 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 109 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×#11745169 | C2 | semidirect |
| 3. #14271023 | C2 | semidirect |
| 4. #14270926 | C2 | semidirect |
| 5. C22×M16×C29 | C2 | semidirect |
| 14. #11745292 | C4 | semidirect |
| 39. C2×C8×C29 | D4 | semidirect |
| 98. C22×M16 | D29 | semidirect |
| 124. C29 | #1895 | semidirect |
| 144. C2×C8 | C22⋊D29 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745292 | 2 |
| C2×#11745169 | 2 |
| #14271023 | 2 |
| #14270926 | 2 |
| C22×M16×C29 | 2 |
| #1895 | 29 |