Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
428 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#11745162 | C2 | semidirect |
| 3. C2×#11745169 | C2 | semidirect |
| 4. C2×#11745180 | C2 | semidirect |
| 5. C2×#11745157 | C2 | semidirect |
| 6. C4⋊C4×Dic29 | C2 | semidirect |
| 7. C2×C29×#102 | C2 | semidirect |
| 15. #11745302 | C4 | semidirect |
| 55. C4⋊C4×C29 | D4 | semidirect |
| 57. C4⋊Dic29 | D4 | semidirect |
| 138. Dic29 | #102 | semidirect |
| 144. C2×#102 | D29 | semidirect |
| 173. C29 | #1982 | semidirect |
| 208. C4⋊C4 | C22⋊D29 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745302 | 2 |
| C2×#11745162 | 2 |
| C2×#11745169 | 2 |
| C2×#11745180 | 2 |
| C2×#11745157 | 2 |
| C4⋊C4×Dic29 | 2 |
| C2×C29×#102 | 2 |
| #1982 | 29 |