Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
284 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 4. #11762767 | C2 | semidirect |
| 5. #11762765 | C2 | semidirect |
| 6. #11762580 | C2 | semidirect |
| 7. C17×#344 | C2 | semidirect |
| 19. C2×#63218 | C4 | semidirect |
| 20. C2×C8×D17 | C4 | semidirect |
| 21. #10587495 | C4 | semidirect |
| 22. #10587494 | C4 | semidirect |
| 108. #344 | D17 | semidirect |
| 134. C17 | #1757 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587593 | 2 |
| #11762791 | 2 |
| #11762782 | 2 |
| #11762767 | 2 |
| #11762765 | 2 |
| #11762580 | 2 |
| C17×#344 | 2 |
| #1757 | 17 |