Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
142 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 44 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. #14272203 | C2 | semidirect |
| 3. #14272087 | C2 | semidirect |
| 4. #14272082 | C2 | semidirect |
| 6. #14272054 | C2 | semidirect |
| 18. C29×SD32 | C4 | semidirect |
| 19. #11745177 | C4 | semidirect |
| 20. #11745175 | C4 | semidirect |
| 21. Dic232 | C4 | semidirect |
| 85. SD32 | #1181 | semidirect |
| 93. C29 | #2180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14272210 | 2 |
| #14272203 | 2 |
| #14272087 | 2 |
| #14272082 | 2 |
| #14272079 | 2 |
| #14272054 | 2 |
| #14271602 | 2 |
| #2180 | 29 |