Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
262 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 66 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. #14272178 | C2 | semidirect |
| 3. #14272167 | C2 | semidirect |
| 5. #14272046 | C2 | semidirect |
| 6. #14272034 | C2 | semidirect |
| 25. C29×#104 | C4 | semidirect |
| 26. #11745185 | C4 | semidirect |
| 27. #11745173 | C4 | semidirect |
| 28. #11745153 | C4 | semidirect |
| 148. #104 | #1181 | semidirect |
| 149. C29 | #1861 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14272242 | 2 |
| #14272178 | 2 |
| #14272167 | 2 |
| #14272160 | 2 |
| #14272046 | 2 |
| #14272034 | 2 |
| #104×D29 | 2 |
| #1861 | 29 |