Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
224 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 105 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. #10587493 | C4 | semidirect |
| 18. #10587479 | C4 | semidirect |
| 19. #10587478 | C4 | semidirect |
| 21. #10587474 | C4 | semidirect |
| 102. C17 | #1773 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587493 | 2 |
| #11762845 | 2 |
| #11762767 | 2 |
| #11762765 | 2 |
| C2×#10587474 | 2 |
| #11762569 | 2 |
| C17×#339 | 2 |
| #1773 | 17 |