Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
332 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 72 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×#6887 | C2 | semidirect |
| 2. C2×#92295 | C2 | semidirect |
| 3. #11757599 | C2 | semidirect |
| 16. C22×C92 | D3 | semidirect |
| 21. #6887 | D4 | semidirect |
| 45. C22×C3×C9 | D9 | semidirect |
| 58. C92 | #67 | semidirect |
| 105. C3×C9 | #611 | semidirect |
| 166. C22 | #92295 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6887 | 2 |
| C2×#92295 | 2 |
| #11757599 | 2 |
| C9×#638 | 3 |
| #10619675 | 3 |
| C9×#611 | 3 |