Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
196 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 68 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 |
|---|---|---|
| 17. C29×#108 | C4 | semidirect |
| 18. #11745170 | C4 | semidirect |
| 19. #11745167 | C4 | semidirect |
| 84. #108 | #1181 | semidirect |
| 91. C29 | #1951 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14272174 | 2 |
| C2×#11745209 | 2 |
| #14272126 | 2 |
| #14272042 | 2 |
| #108×D29 | 2 |
| #1951 | 29 |