Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
278 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 278 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 |
|---|---|---|
| 2. C2×#10587493 | C2 | semidirect |
| 5. #11762574 | C2 | semidirect |
| 6. #11762573 | C2 | semidirect |
| 7. C2×C17×#108 | C2 | semidirect |
| 100. C2×D17 | #108 | semidirect |
| 109. C2×#108 | D17 | semidirect |
| 138. C17 | #1855 | 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×#10587493 | 2 |
| #11762772 | 2 |
| C2×#10587491 | 2 |
| #11762574 | 2 |
| #11762573 | 2 |
| C2×C17×#108 | 2 |
| #1855 | 17 |