Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
228 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 69 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×C16×D29 | C2 | semidirect |
| 3. #14271200 | C2 | semidirect |
| 4. #14270967 | C2 | semidirect |
| 5. #14270965 | C2 | semidirect |
| 6. #14270963 | C2 | semidirect |
| 7. C29×#358 | C2 | semidirect |
| 12. #11745281 | C4 | semidirect |
| 80. #358 | D29 | semidirect |
| 102. C29 | #2138 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745281 | 2 |
| C2×C16×D29 | 2 |
| #14271200 | 2 |
| #14270967 | 2 |
| #14270965 | 2 |
| #14270963 | 2 |
| C29×#358 | 2 |
| #2138 | 29 |