Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
314 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 197 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 |
|---|---|---|
| 1. #11762940 | C2 | semidirect |
| 67. C17 | #2987 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11762940 | 2 |
| #11762870 | 2 |
| #11762866 | 2 |
| C17×#533 | 2 |
| #2987 | 17 |