Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
224 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 75 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. C2×#11745167 | C2 | semidirect |
| 5. #14271118 | C2 | semidirect |
| 6. #14270923 | C2 | semidirect |
| 7. C29×#336 | C2 | semidirect |
| 15. #11745169 | C4 | semidirect |
| 16. #11745169 | C4 | semidirect |
| 20. #11745164 | C4 | semidirect |
| 21. #11745164 | C4 | semidirect |
| 106. #336 | D29 | semidirect |
| 130. C29 | #1929 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745167 | 2 |
| C2×#11745153 | 2 |
| #14271160 | 2 |
| #14271129 | 2 |
| #14271118 | 2 |
| #14270923 | 2 |
| C29×#336 | 2 |
| #1929 | 29 |