Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
372 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 117 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. C2×#11745162 | C2 | semidirect |
| 4. #14271032 | C2 | semidirect |
| 5. #14270926 | C2 | semidirect |
| 6. #14270925 | C2 | semidirect |
| 14. D4×Dic29 | C4 | semidirect |
| 68. D4×C29 | C4⋊C4 | semidirect |
| 116. Dic29 | #102 | semidirect |
| 148. C29 | #1802 | semidirect |
| 193. D4 | #90779 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×Dic29 | 2 |
| C2×#11745162 | 2 |
| C2×#11745180 | 2 |
| #14271032 | 2 |
| #14270926 | 2 |
| #14270925 | 2 |
| C2×C29×#102 | 2 |
| #1802 | 29 |