Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
262 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 62 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. #11763680 | C2 | semidirect |
| 4. #11763676 | C2 | semidirect |
| 9. C2×C42×C17 | C4 | semidirect |
| 12. #10587612 | C4 | semidirect |
| 14. #10587558 | C4 | semidirect |
| 16. C42×D17 | C4 | semidirect |
| 120. C2×C42 | #595 | semidirect |
| 125. C17 | #1827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763795 | 2 |
| #11763788 | 2 |
| #11763680 | 2 |
| #11763676 | 2 |
| C4×#63252 | 2 |
| #1827 | 17 |