Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
208 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 56 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 |
|---|---|---|
| 6. C4×Q8×C29 | C4 | semidirect |
| 8. #11745306 | C4 | semidirect |
| 12. #11745250 | C4 | semidirect |
| 16. C4×Dic58 | C4 | semidirect |
| 102. C4×Q8 | #1181 | semidirect |
| 111. C29 | #1515 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14272185 | 2 |
| #14272108 | 2 |
| #14272017 | 2 |
| #14272016 | 2 |
| #14271717 | 2 |
| #1515 | 29 |