Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
234 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 234 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 |
|---|---|---|
| 5. C23×Dic29 | C4 | semidirect |
| 8. C2×C22⋊C4×C29 | C4 | semidirect |
| 11. #11745229 | C4 | semidirect |
| 13. #11745227 | C4 | semidirect |
| 111. C2×C22⋊C4 | #1181 | semidirect |
| 117. C29 | #1390 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745229 | 2 |
| C2×#11745227 | 2 |
| #14271040 | 2 |
| #1390 | 29 |