Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
254 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 17. #10587506 | C4 | semidirect |
| 127. C17 | #1928 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587478 | 2 |
| C2×#10587506 | 2 |
| #11762716 | 2 |
| C4⋊C4×Dic17 | 2 |
| #11762572 | 2 |
| #11762563 | 2 |
| C2×C17×#103 | 2 |
| #1928 | 17 |