Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
480 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 157 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×#11745231 | C2 | semidirect |
| 3. #14271373 | C2 | semidirect |
| 4. #14271368 | C2 | semidirect |
| 5. #14271187 | C2 | semidirect |
| 6. #14271171 | C2 | semidirect |
| 90. C4×C29 | #137 | semidirect |
| 124. C29 | #3039 | semidirect |
| 188. C4 | #11745313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745313 | 2 |
| C2×#11745231 | 2 |
| #14271373 | 2 |
| #14271368 | 2 |
| #14271187 | 2 |
| #14271171 | 2 |
| C4×#41×C29 | 2 |
| #3039 | 29 |