Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
212 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 58 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 |
|---|---|---|
| 23. C17×#101 | C4 | semidirect |
| 24. #10587507 | C4 | semidirect |
| 25. #10587495 | C4 | semidirect |
| 26. #10587495 | C4 | semidirect |
| 129. #101 | #595 | semidirect |
| 132. C17 | #1930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763820 | 2 |
| #11763802 | 2 |
| C2×#10587549 | 2 |
| #11763775 | 2 |
| #11763688 | 2 |
| #11763684 | 2 |
| #101×D17 | 2 |
| #1930 | 17 |