Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
256 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 256 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 |
|---|---|---|
| 2. #11762847 | C2 | semidirect |
| 4. #11762580 | C2 | semidirect |
| 5. C2×C17×#108 | C2 | semidirect |
| 13. #10587587 | C4 | semidirect |
| 14. #10587587 | C4 | semidirect |
| 88. C2×#108 | D17 | semidirect |
| 113. C17 | #1814 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587587 | 2 |
| #11762847 | 2 |
| #11762825 | 2 |
| #11762580 | 2 |
| C2×C17×#108 | 2 |
| #1814 | 17 |