Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
260 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 72 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. #11763819 | C2 | semidirect |
| 3. #11763677 | C2 | semidirect |
| 7. C2×M16×C17 | C4 | semidirect |
| 8. C22×#3622 | C4 | semidirect |
| 11. C2×#63218 | C4 | semidirect |
| 13. C2×C8×D17 | C4 | semidirect |
| 95. C2×M16 | #595 | semidirect |
| 104. C17 | #1812 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763819 | 2 |
| #11763788 | 2 |
| #11763677 | 2 |
| C2×#10587593 | 2 |
| #1812 | 17 |