Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
280 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 52 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. D29⋊#100 | C2 | semidirect |
| 2. D29⋊#99 | C2 | semidirect |
| 3. #14272065 | C2 | semidirect |
| 4. #14272064 | C2 | semidirect |
| 7. C22×D116 | C4 | semidirect |
| 10. C29×#123 | C4 | semidirect |
| 11. #11745299 | C4 | semidirect |
| 18. C22⋊C4×D29 | C4 | semidirect |
| 24. C23×D29 | C2×C4 | semidirect |
| 28. C22×C4×C29 | C2×C4 | semidirect |
| 49. C22⋊C4×C29 | C2×C4 | semidirect |
| 50. C22⋊Dic29 | C2×C4 | semidirect |
| 137. #123 | #1181 | semidirect |
| 149. C29 | #2121 | semidirect |
| 168. C22×C4 | C2×#1181 | semidirect |
| 182. C22⋊C4 | C2×#1181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D29⋊#100 | 2 |
| D29⋊#99 | 2 |
| #14272065 | 2 |
| #14272064 | 2 |
| #14271724 | 2 |
| #2121 | 29 |