Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
344 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14271929 | C2 | semidirect |
| 3. #14271168 | C2 | semidirect |
| 4. #14271136 | C2 | semidirect |
| 5. #14270920 | C2 | semidirect |
| 6. #14270919 | C2 | semidirect |
| 7. C29×#418 | C2 | semidirect |
| 13. #11745302 | C4 | semidirect |
| 15. #11745298 | C4 | semidirect |
| 44. C2×C8×C29 | D4 | semidirect |
| 57. C2×#6597 | D4 | semidirect |
| 113. #418 | D29 | semidirect |
| 140. C29 | #1910 | semidirect |
| 165. C2×C8 | C22⋊D29 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271929 | 2 |
| #14271730 | 2 |
| #14271168 | 2 |
| #14271136 | 2 |
| #14270920 | 2 |
| #14270919 | 2 |
| C29×#418 | 2 |
| #1910 | 29 |