Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
224 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 1. D29⋊M32 | C2 | semidirect |
| 2. #14272173 | C2 | semidirect |
| 3. #14272079 | C2 | semidirect |
| 7. C2×D8×C29 | C4 | semidirect |
| 11. #11745274 | C4 | semidirect |
| 13. C2×Dic116 | C4 | semidirect |
| 17. #11745209 | C22 | semidirect |
| 18. #11745206 | C22 | semidirect |
| 96. C2×D8 | #1181 | semidirect |
| 104. C29 | #2145 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D29⋊M32 | 2 |
| #14272173 | 2 |
| #14272079 | 2 |
| C2×#11745274 | 2 |
| #2145 | 29 |