Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
162 conjugacy classes of subgroups; only the 38 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 38 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 |
|---|---|---|
| 6. C2×#63243 | C4 | semidirect |
| 7. C2×#63242 | C4 | semidirect |
| 12. #10587545 | C4 | semidirect |
| 93. C17 | #1395 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763796 | 2 |
| #11763783 | 2 |
| #11762781 | 2 |
| #1395 | 17 |