Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
212 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 73 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. #10587495 | C4 | semidirect |
| 117. C17 | #1930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11762849 | 2 |
| #11762819 | 2 |
| C2×#10587481 | 2 |
| C2×#10587495 | 2 |
| #11762767 | 2 |
| #11762573 | 2 |
| C17×#343 | 2 |
| #1930 | 17 |