Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
200 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 2. #11762560 | C2 | direct (N × H) |
| 16. C2×C8×C17 | C8 | semidirect |
| 37. C8×C17 | C2×C8 | semidirect |
| 54. C2×C17 | #334 | semidirect |
| 66. C17 | C2×#334 | semidirect |
| 73. C2×C8 | #3622 | semidirect |
| 93. C8 | C2×#3622 | semidirect |
| 105. C2 | #11762560 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#3622 | 2 |
| #11762560 | 2 |
| C2×C4×C8×C17 | 2 |
| C2×#334 | 17 |