Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
246 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 51 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×#6898 | C2 | semidirect |
| 2. C2×#92311 | C2 | semidirect |
| 3. #11757615 | C2 | semidirect |
| 13. C22×C9⋊C9 | D3 | semidirect |
| 17. C22×C92 | D3 | semidirect |
| 26. #6898 | D4 | semidirect |
| 66. C9⋊C9 | #67 | semidirect |
| 70. C92 | #67 | semidirect |
| 186. C22 | #92311 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6898 | 2 |
| C2×#92311 | 2 |
| #11757615 | 2 |
| #10619675 | 3 |
| #611⋊C9 | 3 |
| #638⋊C9 | 3 |
| C9×#611 | 3 |