Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
484 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 181 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. C2×#11745269 | C2 | semidirect |
| 3. #14271233 | C2 | semidirect |
| 4. #14271131 | C2 | semidirect |
| 5. C2×#11745151 | C2 | semidirect |
| 6. C29×#423 | C2 | semidirect |
| 40. C2×#6597 | D4 | semidirect |
| 79. #423 | D29 | semidirect |
| 102. C29 | #2932 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745269 | 2 |
| #14271713 | 2 |
| #14271233 | 2 |
| #14271131 | 2 |
| C2×#11745151 | 2 |
| C29×#423 | 2 |
| #2932 | 29 |