Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
442 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 101 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×#11745153 | C2 | semidirect |
| 3. #14271127 | C2 | semidirect |
| 4. #14270923 | C2 | semidirect |
| 5. C22×C42×C29 | C2 | semidirect |
| 13. #11745292 | C4 | semidirect |
| 17. #11745286 | C4 | semidirect |
| 35. C2×D116 | C2×C4 | semidirect |
| 37. C2×Dic58 | C2×C4 | semidirect |
| 40. C42×C29 | D4 | semidirect |
| 44. C4⋊Dic29 | C2×C4 | semidirect |
| 83. C22×C29 | #104 | semidirect |
| 96. C22×C42 | D29 | semidirect |
| 121. C29 | #1896 | semidirect |
| 150. C42 | C22⋊D29 | semidirect |
| 185. C22 | #11745153 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271674 | 2 |
| C2×#11745153 | 2 |
| #14271127 | 2 |
| #14270923 | 2 |
| C22×C42×C29 | 2 |
| #1896 | 29 |