Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
444 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14271638 | C2 | semidirect |
| 3. #14271169 | C2 | semidirect |
| 4. #14270924 | C2 | semidirect |
| 5. C2×C29×#100 | C2 | semidirect |
| 12. #11745302 | C4 | semidirect |
| 32. C2×D116 | C2×C4 | semidirect |
| 38. C4⋊Dic29 | D4 | semidirect |
| 41. C4×Dic29 | C2×C4 | semidirect |
| 85. C2×#100 | D29 | semidirect |
| 105. C29 | #1887 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745302 | 2 |
| #14271638 | 2 |
| #14271169 | 2 |
| #14270924 | 2 |
| C2×C29×#100 | 2 |
| #1887 | 29 |