Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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. C22×C4⋊Dic29 | C2 | semidirect |
| 2. C2×#11745180 | C2 | semidirect |
| 3. C2×C22⋊#6597 | C2 | semidirect |
| 4. #14270925 | C2 | semidirect |
| 11. C29×#121 | C4 | semidirect |
| 28. C2×D4×C29 | C2×C4 | semidirect |
| 41. C4⋊C4×C29 | C2×C4 | semidirect |
| 45. C4⋊Dic29 | D4 | semidirect |
| 98. C22×C29 | #102 | semidirect |
| 131. #121 | Dic29 | semidirect |
| 139. C29 | #1874 | semidirect |
| 148. C2×D4 | C2×Dic29 | semidirect |
| 167. C4⋊C4 | C2×Dic29 | semidirect |
| 217. C22 | #11745180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊Dic29 | 2 |
| C2×#11745180 | 2 |
| C2×C22⋊#6597 | 2 |
| #14270925 | 2 |
| C2×C29×#121 | 2 |
| #1874 | 29 |