Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
360 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 90 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×#10587544 | C2 | semidirect |
| 2. #11763667 | C2 | direct (N × H) |
| 13. #10587544 | C22 | semidirect |
| 74. C2×C17 | #331 | semidirect |
| 88. C17 | C2×#331 | semidirect |
| 146. C2 | #11763667 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587544 | 2 |
| #11763667 | 2 |
| C2×#10587626 | 2 |
| C2×#331 | 17 |