Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
426 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 89 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. C22×#63230 | C2 | semidirect |
| 3. C2×#10587633 | C2 | semidirect |
| 4. C2×#10587480 | C2 | semidirect |
| 5. #11762710 | C2 | semidirect |
| 6. #11762563 | C2 | semidirect |
| 7. C2×C17×#103 | C2 | semidirect |
| 130. C2×#103 | D17 | semidirect |
| 160. C17 | #2012 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#63230 | 2 |
| C22×D136 | 2 |
| C2×#10587633 | 2 |
| C2×#10587480 | 2 |
| #11762710 | 2 |
| #11762563 | 2 |
| C2×C17×#103 | 2 |
| #2012 | 17 |