Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
172 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 40 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 |
|---|---|---|
| 12. #10587545 | C4 | semidirect |
| 13. C17×#101 | C4 | semidirect |
| 14. #10587507 | C4 | semidirect |
| 92. #101 | #595 | semidirect |
| 95. C17 | #1394 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#101 | 2 |
| (C2×#595)⋊Q8 | 2 |
| #101×D17 | 2 |
| #1394 | 17 |