Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
256 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 15. C29×#97 | C4 | semidirect |
| 16. #11745163 | C4 | semidirect |
| 17. #11745151 | C4 | semidirect |
| 50. C8×C29 | C4⋊C4 | semidirect |
| 51. #6597 | C4⋊C4 | semidirect |
| 85. #97 | #1181 | semidirect |
| 87. C29 | #1847 | semidirect |
| 121. 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 |
| #14272109 | 2 |
| #14272107 | 2 |
| #97×D29 | 2 |
| #1847 | 29 |