Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
140 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 52 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 |
|---|---|---|
| 9. #10587533 | C4 | semidirect |
| 11. #10587530 | C4 | semidirect |
| 12. C17×#107 | C4 | semidirect |
| 13. #10587489 | C4 | semidirect |
| 74. #107 | #595 | semidirect |
| 78. C17 | #1386 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587530 | 2 |
| C2×#10587533 | 2 |
| #11762846 | 2 |
| #1386 | 17 |