Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
484 conjugacy classes of subgroups; only the 297 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 297 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. #11762836 | C2 | semidirect |
| 3. #11762833 | C2 | semidirect |
| 4. C2×C4⋊#3622 | C2 | semidirect |
| 62. C4×C17 | #131 | semidirect |
| 88. C17 | #2906 | semidirect |
| 130. C4 | #10587634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587634 | 2 |
| #11762836 | 2 |
| #11762833 | 2 |
| C2×C4⋊#3622 | 2 |
| C4×#41×C17 | 2 |
| #2906 | 17 |