Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
344 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14271216 | C2 | semidirect |
| 3. #14270906 | C2 | semidirect |
| 4. C29×#423 | C2 | semidirect |
| 15. C29×C4⋊C8 | C22 | semidirect |
| 17. C4⋊#6597 | C22 | semidirect |
| 82. #423 | D29 | semidirect |
| 100. C4⋊C8 | C2×D29 | semidirect |
| 103. C29 | #1545 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745236 | 2 |
| #14271216 | 2 |
| #14270906 | 2 |
| C29×#423 | 2 |
| #1545 | 29 |