Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
230 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 19. C29×#107 | C4 | semidirect |
| 20. #11745166 | C4 | semidirect |
| 21. #11745155 | C4 | semidirect |
| 22. #11745155 | C4 | semidirect |
| 127. #107 | #1181 | semidirect |
| 130. C29 | #1918 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14272114 | 2 |
| C4⋊C4×#1181 | 2 |
| #14272037 | 2 |
| #14272036 | 2 |
| (C2×#1181)⋊C8 | 2 |
| #107×D29 | 2 |
| #1918 | 29 |