Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
336 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 91. Dic34 | Q16 | semidirect |
| 153. C17 | #3363 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763539 | 2 |
| #11763537 | 2 |
| #11763161 | 2 |
| #11763158 | 2 |
| #11763103 | 2 |
| #11763020 | 2 |
| #11763018 | 2 |
| #11762933 | 2 |
| #11762903 | 2 |
| C4×#63231 | 2 |
| C17×#477 | 2 |
| #3363 | 17 |