Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
338 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 85 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. C2×#10587507 | C2 | semidirect |
| 5. #11762577 | C2 | semidirect |
| 6. #11762577 | C2 | semidirect |
| 7. C2×C17×#101 | C2 | semidirect |
| 119. C2×D17 | #101 | semidirect |
| 131. C2×#101 | D17 | semidirect |
| 163. C17 | #1901 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×D17 | 2 |
| C2×#10587632 | 2 |
| C2×#10587507 | 2 |
| #11762772 | 2 |
| #11762577 | 2 |
| C2×C17×#101 | 2 |
| #1901 | 17 |