Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
152 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 152 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 |
|---|---|---|
| 8. #10587542 | C4 | semidirect |
| 10. C4×#3624 | C4 | semidirect |
| 80. C17 | #1288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763830 | 2 |
| C4×#63247 | 2 |
| #11762676 | 2 |
| #1288 | 17 |