Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14271503 | C2 | semidirect |
| 4. #14271502 | C2 | semidirect |
| 5. #14271497 | C2 | semidirect |
| 6. #14271492 | C2 | semidirect |
| 7. #14271203 | C2 | semidirect |
| 8. #14271201 | C2 | semidirect |
| 9. #14271172 | C2 | semidirect |
| 11. C2×C29×#103 | C2 | semidirect |
| 131. C2×#103 | D29 | semidirect |
| 167. C29 | #3097 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271737 | 2 |
| #14271644 | 2 |
| #14271503 | 2 |
| #14271502 | 2 |
| #14271497 | 2 |
| #14271492 | 2 |
| #14271203 | 2 |
| #14271201 | 2 |
| #14271172 | 2 |
| #14271129 | 2 |
| C2×C29×#103 | 2 |
| #3097 | 29 |