Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
166 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 40 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 |
|---|---|---|
| 5. C22×C8×C17 | C4 | semidirect |
| 6. C2×#63223 | C4 | semidirect |
| 7. #10587551 | C4 | semidirect |
| 58. C22×C8 | #595 | semidirect |
| 63. C17 | #1391 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763788 | 2 |
| #11762775 | 2 |
| #1391 | 17 |