Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
360 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 165 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. #14271562 | C2 | direct (N × H) |
| 66. C2×C29 | #499 | semidirect |
| 83. C29 | C2×#499 | semidirect |
| 122. C2 | #14271562 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745232 | 2 |
| #14271562 | 2 |
| C2×#11745155 | 2 |
| C2×#11745156 | 2 |
| C2×C4×#6597 | 2 |
| C2×C29×#125 | 2 |
| C2×#499 | 29 |