Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
200 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 87 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. #11763899 | C2 | direct (N × H) |
| 24. C2×C8×C17 | C8 | semidirect |
| 25. C2×#3622 | C8 | semidirect |
| 26. C8×D17 | C8 | semidirect |
| 44. C8×C17 | C2×C8 | semidirect |
| 45. #3622 | C2×C8 | semidirect |
| 64. C2×C17 | #335 | semidirect |
| 66. D17 | #335 | semidirect |
| 77. C17 | C2×#335 | semidirect |
| 89. C2×C8 | #3633 | semidirect |
| 111. C8 | C2×#3633 | semidirect |
| 129. C2 | #11763899 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#3633 | 2 |
| #11763899 | 2 |
| C2×C8×#595 | 2 |
| C2×#335 | 17 |