Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
362 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 148 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. #14272214 | C2 | semidirect |
| 2. #14272196 | C2 | semidirect |
| 3. #14272195 | C2 | semidirect |
| 4. #14272193 | C2 | semidirect |
| 5. #14272188 | C2 | semidirect |
| 6. #14272183 | C2 | semidirect |
| 7. #14272128 | C2 | semidirect |
| 8. C4×#90800 | C2 | semidirect |
| 148. C29 | #2967 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14272214 | 2 |
| #14272196 | 2 |
| #14272195 | 2 |
| #14272193 | 2 |
| #14272188 | 2 |
| #14272183 | 2 |
| #14272128 | 2 |
| C4×#90800 | 2 |
| #14271699 | 2 |
| #2967 | 29 |