Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
332 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 97 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×C22⋊#6597 | C2 | semidirect |
| 3. #14270888 | C2 | semidirect |
| 4. #14270886 | C2 | semidirect |
| 5. C2×C29×C22⋊C8 | C2 | semidirect |
| 35. C2×C22⋊D29 | C8 | semidirect |
| 65. C22×D29 | C2×C8 | semidirect |
| 84. C2×Dic29 | C2×C8 | semidirect |
| 117. C2×C22⋊C8 | D29 | semidirect |
| 145. C29 | #1459 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C22⋊D29 | 2 |
| C2×C22⋊#6597 | 2 |
| #14270888 | 2 |
| #14270886 | 2 |
| C2×C29×C22⋊C8 | 2 |
| #1459 | 29 |