Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
272 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 76 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. C2×#10587536 | C2 | semidirect |
| 2. C2×#10587535 | C2 | semidirect |
| 4. #11763685 | C2 | semidirect |
| 123. C17 | #1811 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587536 | 2 |
| C2×#10587535 | 2 |
| #11763780 | 2 |
| #11763685 | 2 |
| C2×M16×D17 | 2 |
| #1811 | 17 |