Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
248 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 3. #14272013 | C2 | semidirect |
| 4. Q8⋊#6599 | C2 | semidirect |
| 25. Q8×D29 | C8 | semidirect |
| 116. C29 | #1479 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14272182 | 2 |
| #14272181 | 2 |
| #14272013 | 2 |
| Q8⋊#6599 | 2 |
| C4×Q8×D29 | 2 |
| #1479 | 29 |