Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
296 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 15. C29×#101 | C4 | semidirect |
| 16. #11745184 | C4 | semidirect |
| 71. Dic29 | #101 | direct (N × H) |
| 92. #101 | Dic29 | direct (N × H) |
| 95. C29 | C4×#101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×Dic29 | 2 |
| C2×#11745184 | 2 |
| M16×Dic29 | 2 |
| #14270931 | 2 |
| C2×C29×#101 | 2 |
| C4×#101 | 29 |