Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
262 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 69 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×#10587490 | C2 | semidirect |
| 4. C2×#10587507 | C2 | semidirect |
| 6. #11762578 | C2 | semidirect |
| 7. C2×C17×#103 | C2 | semidirect |
| 107. C2×#103 | D17 | semidirect |
| 134. C17 | #2052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587628 | 2 |
| C2×#10587490 | 2 |
| #11762808 | 2 |
| C2×#10587507 | 2 |
| #11762775 | 2 |
| #11762578 | 2 |
| C2×C17×#103 | 2 |
| #2052 | 17 |