Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
184 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 94 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. #11763730 | C2 | semidirect |
| 3. C4⋊#63216 | C2 | semidirect |
| 37. C4×D17 | C16 | semidirect |
| 51. C4×C17 | C2×C16 | semidirect |
| 56. Dic17 | C2×C16 | semidirect |
| 64. D17 | C4⋊C16 | semidirect |
| 74. C17 | C2×C4⋊C16 | semidirect |
| 114. C4 | #10587529 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587529 | 2 |
| #11763730 | 2 |
| C4⋊#63216 | 2 |
| C4×C8×D17 | 2 |
| C2×C4⋊C16 | 17 |