Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
228 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 92 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 |
|---|---|---|
| 11. #11745212 | C4 | semidirect |
| 12. #11745211 | C4 | semidirect |
| 17. C29×#108 | C4 | semidirect |
| 18. #11745170 | C4 | semidirect |
| 19. #11745167 | C4 | semidirect |
| 65. #1181 | #108 | direct (N × H) |
| 88. #108 | #1181 | direct (N × H) |
| 93. C29 | C4×#108 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D29⋊#108 | 2 |
| M16×#1181 | 2 |
| C2×C8×#1181 | 2 |
| #14272038 | 2 |
| #108×D29 | 2 |
| C4×#108 | 29 |