Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
384 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 3. #14271469 | C2 | direct (N × H) |
| 100. C2×C29 | #479 | semidirect |
| 124. C29 | C2×#479 | semidirect |
| 187. C2 | #14271469 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745252 | 2 |
| C2×#11745249 | 2 |
| #14271469 | 2 |
| C2×#11745156 | 2 |
| C2×#11745162 | 2 |
| C2×#11745164 | 2 |
| C2×#11745158 | 2 |
| C2×C29×#107 | 2 |
| C2×#479 | 29 |