Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
114 conjugacy classes of subgroups; only the 26 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 26 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 |
|---|---|---|
| 1. #11763706 | C2 | semidirect |
| 2. #11763677 | C2 | semidirect |
| 5. C2×D8×C17 | C4 | semidirect |
| 10. #10587488 | C4 | semidirect |
| 56. C2×D8 | #595 | semidirect |
| 63. C17 | #1339 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763706 | 2 |
| #11763677 | 2 |
| #11763059 | 2 |
| #1339 | 17 |