Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
200 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 44 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 |
|---|---|---|
| 6. C2×#63247 | C4 | semidirect |
| 12. C17×C22⋊C8 | C4 | semidirect |
| 13. C22⋊#3622 | C4 | semidirect |
| 92. C22⋊C8 | #595 | semidirect |
| 94. C17 | #1305 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763781 | 2 |
| #11763751 | 2 |
| #11762771 | 2 |
| #1305 | 17 |