Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
226 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 46 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 |
|---|---|---|
| 7. C2×C42×C17 | C4 | semidirect |
| 9. C2×C4×Dic17 | C4 | semidirect |
| 11. (C2×#595)⋊C4 | C4 | semidirect |
| 13. #10587543 | C4 | semidirect |
| 100. C2×C42 | #595 | semidirect |
| 106. C17 | #1284 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763781 | 2 |
| #11763752 | 2 |
| C4×#63227 | 2 |
| #1284 | 17 |