Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
230 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 19. C17×#106 | C4 | semidirect |
| 20. #10587488 | C4 | semidirect |
| 21. #10587479 | C4 | semidirect |
| 22. #10587479 | C4 | semidirect |
| 127. #106 | #595 | semidirect |
| 130. C17 | #1920 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763760 | 2 |
| C4⋊C4×#595 | 2 |
| #11763683 | 2 |
| #11763682 | 2 |
| #11763674 | 2 |
| #106×D17 | 2 |
| #1920 | 17 |