Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
272 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 100 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 |
|---|---|---|
| 13. #11745210 | C4 | semidirect |
| 14. #11745209 | C4 | semidirect |
| 15. C29×#97 | C4 | semidirect |
| 16. #11745163 | C4 | semidirect |
| 17. #11745163 | C4 | semidirect |
| 18. #11745151 | C4 | semidirect |
| 57. C8×C29 | C42 | semidirect |
| 59. #6597 | C42 | semidirect |
| 95. #97 | #1181 | semidirect |
| 97. C29 | #1776 | semidirect |
| 138. C8 | C4×#1181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745210 | 2 |
| C2×#11745209 | 2 |
| C4×C4⋊#1181 | 2 |
| #14272037 | 2 |
| #97×D29 | 2 |
| #1776 | 29 |