Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
412 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 3. C2×#11745151 | C2 | semidirect |
| 4. #14270917 | C2 | semidirect |
| 5. C2×C29×#97 | C2 | semidirect |
| 16. #11745168 | C4 | semidirect |
| 32. C2×C8×C29 | C2×C4 | semidirect |
| 40. C2×#6597 | C2×C4 | semidirect |
| 75. C2×D29 | #97 | semidirect |
| 84. C2×#97 | D29 | semidirect |
| 104. C29 | #1749 | semidirect |
| 122. C2×C8 | C4×D29 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C42×D29 | 2 |
| C2×#11745168 | 2 |
| C2×#11745151 | 2 |
| #14270917 | 2 |
| C2×C29×#97 | 2 |
| #1749 | 29 |