Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
436 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 98 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. C2×#11745223 | C2 | semidirect |
| 2. C4×D29⋊C8 | C2 | semidirect |
| 3. #14272109 | C2 | semidirect |
| 10. C29×#127 | C4 | semidirect |
| 12. #11745302 | C4 | semidirect |
| 13. #11745236 | C4 | semidirect |
| 35. D29⋊C8 | D4 | semidirect |
| 77. C4×C29 | #102 | semidirect |
| 79. Dic29 | #102 | semidirect |
| 98. #127 | #1181 | semidirect |
| 104. C29 | #1957 | semidirect |
| 166. C4 | #11745223 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745223 | 2 |
| C4×D29⋊C8 | 2 |
| #14272109 | 2 |
| #127×D29 | 2 |
| #1957 | 29 |