Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
494 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 494 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 |
|---|---|---|
| 1. C22×#14556688 | C2 | semidirect |
| 2. C2×#17989687 | C2 | semidirect |
| 3. #22627096 | C2 | semidirect |
| 4. #22627011 | C2 | semidirect |
| 27. #14556688 | D4 | semidirect |
| 157. C22×C73 | #350 | semidirect |
| 187. C73 | #12978 | semidirect |
| 346. C22 | #17989687 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14556688 | 2 |
| C2×#17989687 | 2 |
| #22627096 | 2 |
| #22627011 | 2 |
| #22626645 | 2 |
| #12978 | 73 |