Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
356 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 1. #11763532 | C2 | semidirect |
| 2. #11763203 | C2 | semidirect |
| 4. #11763032 | C2 | semidirect |
| 6. #11763020 | C2 | semidirect |
| 7. #11762911 | C2 | semidirect |
| 8. C4×Dic68 | C2 | semidirect |
| 9. C17×#446 | C2 | semidirect |
| 105. #446 | D17 | semidirect |
| 137. C17 | #3402 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763532 | 2 |
| #11763203 | 2 |
| #11763193 | 2 |
| #11763032 | 2 |
| #11763025 | 2 |
| #11763020 | 2 |
| #11762911 | 2 |
| C4×Dic68 | 2 |
| C17×#446 | 2 |
| #3402 | 17 |