Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
900 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 900 conjugacy classes of subgroups — too many to draw. Only its 115 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. #22616045 | C2 | semidirect |
| 3. #22607810 | C2 | semidirect |
| 4. #22607774 | C2 | semidirect |
| 42. C22×D4×C73 | Q8 | semidirect |
| 266. C73 | #10340 | semidirect |
| 287. C22×D4 | Dic146 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22616045 | 2 |
| #22609862 | 2 |
| #22607810 | 2 |
| #22607774 | 2 |
| C73×#1438 | 2 |
| #10340 | 73 |