Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
262 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 3. #14272034 | C2 | semidirect |
| 4. #14272030 | C2 | semidirect |
| 9. C29×#117 | C4 | semidirect |
| 10. C2×C4×Dic29 | C4 | semidirect |
| 15. #11745234 | C4 | semidirect |
| 17. C42×D29 | C4 | semidirect |
| 117. #117 | #1181 | semidirect |
| 125. C29 | #1827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14272149 | 2 |
| #14272142 | 2 |
| #14272034 | 2 |
| #14272030 | 2 |
| #14271631 | 2 |
| #1827 | 29 |