Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
132 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 48 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. #10587529 | C4 | semidirect |
| 12. C17×#106 | C4 | semidirect |
| 13. #10587488 | C4 | semidirect |
| 73. #106 | #595 | semidirect |
| 74. C17 | #1384 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763865 | 2 |
| #11763819 | 2 |
| #11762844 | 2 |
| #1384 | 17 |