Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
184 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 61 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×Dic136 | C2 | semidirect |
| 2. C2×#10587471 | C2 | semidirect |
| 4. #11763193 | C2 | semidirect |
| 5. C4×C16×C17 | C2 | semidirect |
| 52. C4×C16 | D17 | semidirect |
| 66. C17 | #2249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic136 | 2 |
| C2×#10587471 | 2 |
| C2×D272 | 2 |
| #11763193 | 2 |
| C4×C16×C17 | 2 |
| #2249 | 17 |