Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
476 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 253 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. #14271206 | C2 | semidirect |
| 4. #14271203 | C2 | semidirect |
| 5. #14271199 | C2 | semidirect |
| 6. C2×#11745156 | C2 | semidirect |
| 13. #11745310 | C4 | semidirect |
| 42. #90777 | C2×C4 | semidirect |
| 43. C2×#6597 | C2×C4 | semidirect |
| 101. C29 | #2912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745310 | 2 |
| #14271646 | 2 |
| #14271206 | 2 |
| #14271203 | 2 |
| #14271199 | 2 |
| C2×#11745156 | 2 |
| C29×#520 | 2 |
| #2912 | 29 |