Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
292 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 153 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 |
|---|---|---|
| 13. C17×C4⋊C8 | C4 | semidirect |
| 15. C4⋊#3622 | C4 | semidirect |
| 61. C4×C17 | #97 | semidirect |
| 86. C4⋊C8 | Dic17 | semidirect |
| 88. C17 | #1767 | semidirect |
| 135. C4 | #10587486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#3622 | 2 |
| C2×#10587486 | 2 |
| C42×Dic17 | 2 |
| #11762563 | 2 |
| C2×C17×C4⋊C8 | 2 |
| #1767 | 17 |