Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
106 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 1. #14271595 | C2 | semidirect |
| 2. #14271003 | C2 | semidirect |
| 3. #14271001 | C2 | semidirect |
| 4. #14271000 | C2 | semidirect |
| 5. #14270998 | C2 | semidirect |
| 6. C2×#11745142 | C2 | semidirect |
| 7. C29×#508 | C2 | semidirect |
| 50. #508 | D29 | semidirect |
| 71. C29 | #2262 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271595 | 2 |
| #14271003 | 2 |
| #14271001 | 2 |
| #14271000 | 2 |
| #14270998 | 2 |
| C2×#11745142 | 2 |
| C29×#508 | 2 |
| #2262 | 29 |