Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
162 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 52 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 |
|---|---|---|
| 11. C4×C8×C17 | C4 | semidirect |
| 12. #10587486 | C4 | semidirect |
| 13. #10587486 | C4 | semidirect |
| 14. C4×#3622 | C4 | semidirect |
| 72. C4×C8 | #595 | semidirect |
| 73. C17 | #1841 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763691 | 2 |
| #11763680 | 2 |
| #11763678 | 2 |
| #11763677 | 2 |
| C4×#63218 | 2 |
| #1841 | 17 |