Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
536 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 536 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. #14271180 | C2 | semidirect |
| 3. #14271173 | C2 | semidirect |
| 4. #14271171 | C2 | semidirect |
| 5. #14271145 | C2 | semidirect |
| 6. #14271136 | C2 | semidirect |
| 7. C29×#421 | C2 | semidirect |
| 13. C2×Q8×D29 | C4 | semidirect |
| 15. C2×#90807 | C4 | semidirect |
| 143. #421 | D29 | semidirect |
| 177. C29 | #1796 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745365 | 2 |
| #14271180 | 2 |
| #14271173 | 2 |
| #14271171 | 2 |
| #14271145 | 2 |
| #14271136 | 2 |
| C29×#421 | 2 |
| #1796 | 29 |