Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
296 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 3. #11762576 | C2 | semidirect |
| 4. #11762575 | C2 | semidirect |
| 8. C2×C22⋊Dic17 | C4 | semidirect |
| 14. #10587612 | C4 | semidirect |
| 107. C17 | #1828 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763284 | 2 |
| C2×#10587505 | 2 |
| #11762576 | 2 |
| #11762575 | 2 |
| C2×C17×#99 | 2 |
| #1828 | 17 |