Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
332 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 71 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×C22⋊#3633 | C2 | semidirect |
| 2. #11763895 | C2 | semidirect |
| 3. #11763894 | C2 | semidirect |
| 31. C2×D4×C17 | C8 | semidirect |
| 32. C2×C22⋊D17 | C8 | semidirect |
| 33. C2×C22⋊D17 | C8 | semidirect |
| 36. C2×D68 | C8 | semidirect |
| 44. C23×C17 | C2×C8 | semidirect |
| 53. C22×D17 | C2×C8 | semidirect |
| 71. C2×C4×C17 | C2×C8 | semidirect |
| 74. C2×Dic17 | C2×C8 | semidirect |
| 130. C17 | #1459 | semidirect |
| 138. C2×D4 | #3633 | semidirect |
| 169. C23 | C2×#3633 | semidirect |
| 190. C2×C4 | C2×#3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊#3633 | 2 |
| #11763895 | 2 |
| #11763894 | 2 |
| C2×D4×#595 | 2 |
| #1459 | 17 |