Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
336 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 336 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. #14271187 | C2 | semidirect |
| 4. #14270931 | C2 | semidirect |
| 5. C29×#423 | C2 | semidirect |
| 92. C4×C29 | #100 | semidirect |
| 100. #423 | D29 | semidirect |
| 125. C29 | #1800 | semidirect |
| 196. C4 | #11745171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D116 | 2 |
| #14271187 | 2 |
| C2×#11745171 | 2 |
| #14270931 | 2 |
| C29×#423 | 2 |
| #1800 | 29 |