Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
144 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 2. #14271280 | C2 | semidirect |
| 3. #14271279 | C2 | semidirect |
| 4. #14270992 | C2 | semidirect |
| 5. #14270971 | C2 | semidirect |
| 6. #14270938 | C2 | semidirect |
| 7. C29×#359 | C2 | semidirect |
| 15. #11745177 | C4 | semidirect |
| 16. #11745176 | C4 | semidirect |
| 17. #11745175 | C4 | semidirect |
| 18. #11745174 | C4 | semidirect |
| 73. #359 | D29 | semidirect |
| 94. C29 | #2179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271593 | 2 |
| #14271280 | 2 |
| #14271279 | 2 |
| #14270992 | 2 |
| #14270971 | 2 |
| #14270938 | 2 |
| C29×#359 | 2 |
| #2179 | 29 |